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Mathematical group that can be generated as the set of powers of a single element
In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently Z {\displaystyle \mathbb {Z} } n or Zn, not to be confused
Cyclic_group
Algebraic structure
binary cyclic group of the n-gon is the cyclic group of order 2n, C 2 n {\displaystyle C_{2n}} , thought of as an extension of the cyclic group C n {\displaystyle
Binary_cyclic_group
cyclic group is a group (G, *) in which every finitely generated subgroup is cyclic. Every cyclic group is locally cyclic, and every locally cyclic group
Locally_cyclic_group
Every subgroup of a cyclic group is cyclic, and if finite, its order divides its parent's
In abstract algebra, every subgroup of a cyclic group is cyclic. Moreover, for a finite cyclic group of order n, every subgroup's order is a divisor of
Subgroups_of_cyclic_groups
Group of units of the ring of integers modulo n
|(\mathbb {Z} /n\mathbb {Z} )^{\times }|=\varphi (n).} For prime n the group is cyclic, and in general the structure is easy to describe, but no simple general
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Commutative group (mathematics)
quotient group. Subgroups, quotients, and direct sums of abelian groups are again abelian. The finite simple abelian groups are exactly the cyclic groups of
Abelian_group
Type of group in mathematics
SO(n) and {±I}. The group SO(2) is abelian (whereas SO(n) is not abelian when n > 2). Its finite subgroups are the cyclic group Ck of k-fold rotations
Orthogonal_group
In group theory, especially, in geometric group theory, the class of free-by-cyclic groups have been deeply studied as important examples. A group G {\displaystyle
Free-by-cyclic_group
Sporadic simple group
In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, the friendly giant, or simply the
Monster_group
Set with associative invertible operation
a} are distinct; despite the name "cyclic group", the powers of the elements do not cycle. An infinite cyclic group is isomorphic to ( Z , + ) {\displaystyle
Group_(mathematics)
Mathematical group based upon a finite number of elements
examples of finite groups include cyclic groups and permutation groups. The study of finite groups has been an integral part of group theory since it arose
Finite_group
Group with subnormal series where all factors are abelian
product and direct product of the cyclic groups. Z 4 {\displaystyle \mathbb {Z} _{4}} is not a normal subgroup. A group G is called solvable if it has a
Solvable_group
Mathematical abelian group
four-group, with four elements, is the smallest group that is not cyclic. Up to isomorphism, there is only one other group of order four: the cyclic group
Klein_four-group
Type of group in abstract algebra
the order of S5), because the only group of order 15 is the cyclic group. The largest possible order of a cyclic subgroup (equivalently, the largest
Symmetric_group
Branch of mathematics that studies the properties of groups
easy) group operation. Most cryptographic schemes use groups in some way. In particular Diffie–Hellman key exchange uses finite cyclic groups. So the
Group_theory
Group obtained by aggregating similar elements of a larger group
the group structure (the rest of the structure is "factored out"). For example, the cyclic group of addition modulo n can be obtained from the group of
Quotient_group
Group of even permutations of a finite set
isomorphic to the cyclic group Z3, and A0, A1, and A2 are isomorphic to the trivial group (which is also SL1(q) = PSL1(q) for any q). A5 is the group of isometries
Alternating_group
Extension of a cyclic group by a cyclic group
In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. Equivalently, a metacyclic group is a group G {\displaystyle
Metacyclic_group
Existence of group elements of prime order
divisor p of the order of G, there is a subgroup of G whose order is p—the cyclic group generated by the element in Cauchy's theorem. Cauchy's theorem is generalized
Cauchy's theorem (group theory)
Cauchy's_theorem_(group_theory)
Transformations induced by a mathematical group
the cyclic group Z / 120 Z {\displaystyle \mathbb {Z} /120\mathbb {Z} } . The smallest sets on which faithful actions can be defined for these groups are
Group_action
Number with an integer power equal to 1
is a cyclic group. It is worth remarking that the term of cyclic group originated from the fact that this group is a subgroup of the circle group. Let
Root_of_unity
Group with a cyclic order respected by the group operation
a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order
Cyclically_ordered_group
Abstract algebra concept
{\displaystyle \langle x\rangle } is the cyclic subgroup of the powers of x {\displaystyle x} , a cyclic group, and we say this group is generated by x {\displaystyle
Generating_set_of_a_group
Group that is also a differentiable manifold with group operations that are smooth
In mathematics, a Lie group (pronounced /liː/ Lee) is a group that is also a differentiable manifold, such that group multiplication and taking inverses
Lie_group
Group without normal subgroups other than the trivial group and itself
completed in 2004, is a major milestone in the history of mathematics. The cyclic group G = ( Z / 3 Z , + ) = Z 3 {\displaystyle G=(\mathbb {Z} /3\mathbb {Z}
Simple_group
Concept in mathematics
is cyclic; this implies that its Sylow subgroups are cyclic or generalized quaternion groups. Any group such that all Sylow subgroups are cyclic is called
Frobenius_group
the group within that order. Common group names: Zn: the cyclic group of order n (the notation Cn is also used; it is isomorphic to the additive group of
List_of_small_groups
Group of symmetries of a regular polygon
(2 November 2013). "Automorphism groups for semidirect products of cyclic groups" (PDF). p. 13. Archived (PDF) from the original on 2016-08-06. Corollary
Dihedral_group
groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups.
List_of_finite_simple_groups
Finite group
non-abelian groups of order 2n which have a cyclic subgroup of index 2. Two are well known, the generalized quaternion group and the dihedral group. One of
Quasidihedral_group
Theorem classifying finite simple groups
finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either cyclic, or alternating
Classification of finite simple groups
Classification_of_finite_simple_groups
Finite simple group type not classified as Lie, cyclic or alternating
finite groups, or just the sporadic groups. A simple group is a group G that does not have any normal subgroups except for the trivial group and G itself
Sporadic_group
Mathematical term in group theory
Prüfer group. The Prüfer p-group is the unique infinite p-group that is locally cyclic (every finite set of elements generates a cyclic group). As seen
Prüfer_group
Alternative mathematical ordering
In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order is not modeled
Cyclic_order
Type of group in mathematics
a primary cyclic group is a group that is both a cyclic group and a p-primary group for some prime number p. That is, it is a cyclic group of order pm
Primary_cyclic_group
Commutative group where every element is the sum of elements from one finite subset
So, finitely generated abelian groups can be thought of as a generalization of cyclic groups. Every finite abelian group is finitely generated. The finitely
Finitely generated abelian group
Finitely_generated_abelian_group
Group of unitary complex matrices with determinant of 1
algebra is simple; see below). The center of SU(n) is isomorphic to the cyclic group Z / n Z {\displaystyle \mathbb {Z} /n\mathbb {Z} } , and is composed
Special_unitary_group
Group in which the order of every element is a power of p
example, the cyclic group C4 and the Klein four-group V4 are both 2-groups of order 4, but they are not isomorphic. Nor need a p-group be abelian; the
P-group
Index of articles associated with the same name
begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution
Cyclic_(mathematics)
Groups of point isometries in 3 dimensions
infinite isometry groups; for example, the "cyclic group" (meaning that it is generated by one element – not to be confused with a torsion group) generated by
Point groups in three dimensions
Point_groups_in_three_dimensions
Type of cyclic group in group theory
extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di-cyclic. In the notation of exact sequences of groups, this extension
Dicyclic_group
How spheres of various dimensions can wrap around each other
group is the infinite cyclic group, Z. Where entry is a product, the homotopy group is the cartesian product (equivalently, direct sum) of the cyclic
Homotopy_groups_of_spheres
Unsolved problem in mathematics
Galois group. These groups include all of degree no greater than 5. There also are groups known not to have generic polynomials, such as the cyclic group of
Inverse_Galois_problem
Number in {..., –2, –1, 0, 1, 2, ...}
\mathbb {Z} } under addition is the only infinite cyclic group—in the sense that any infinite cyclic group is isomorphic to Z {\displaystyle \mathbb {Z}
Integer
248-dimensional exceptional simple Lie group
group of order 2 of an extension of the cyclic group of order 2 by a group G) where G is the unique simple group of order 174182400 (which can be described
E8_(mathematics)
Orientation-preserving mapping class group of the torus
instead of S and T, this shows that the modular group is isomorphic to the free product of the cyclic groups C2 and C3: Γ ≅ C 2 ∗ C 3 {\displaystyle \Gamma
Modular_group
Theorem on the orders of subgroups
shows that any group of prime order is cyclic and simple, since the subgroup generated by any non-identity element must be the whole group itself. Lagrange's
Lagrange's theorem (group theory)
Lagrange's_theorem_(group_theory)
Symmetry of molecules of chemical compounds
divided into cyclic and dihedral groups and within a system the order of the dihedral group is twice that of the cyclic group. Cyclic groups only have one
Molecular_symmetry
Tools for studying groups based on techniques from algebraic topology
2\\0&k{\text{ odd}},k\geq 1\end{cases}}} Cocycles for the group cohomology of a cyclic group can be given explicitly using the Bar resolution. We get a
Group_cohomology
Mathematical concept
groups: according to the fundamental theorem of finite abelian groups, every finite abelian group can be expressed as the direct sum of cyclic groups
Direct_product_of_groups
Cyclic chemical group (–C6H5)
In organic chemistry, the phenyl group, or phenyl ring, is a cyclic group of atoms with the formula C6H5−, and is often represented by the pseudoelement
Phenyl_group
Specification of a mathematical group by generators and relations
the quotient of a free group on S by the normal subgroup generated by the relations R. As a simple example, the cyclic group of order n has the presentation
Presentation_of_a_group
Nonabelian group of order 120
icosahedral group 2I or ⟨2,3,5⟩ is a certain nonabelian group of order 120. It is an extension of the icosahedral group I or (2,3,5) of order 60 by the cyclic group
Binary_icosahedral_group
Operation in group theory
that such a group can be embedded into the wreath product A ≀ H {\displaystyle A\wr H} by the universal embedding theorem. The cyclic group Z 4 {\displaystyle
Semidirect_product
Mathematical group
other than the cyclic groups, the alternating groups, the Tits group, and the 26 sporadic simple groups. In general the finite group associated to an
Group_of_Lie_type
Theorems that help decompose a finite group based on prime factors of its order
Corollary—Given a finite group G and a prime number p dividing the order of G, then there exists an element (and thus a cyclic subgroup generated by this
Sylow_theorems
Mathematical group
The Rubik's Cube group ( G , ⋅ ) {\displaystyle (G,\cdot )} represents the mathematical structure of the Rubik's Cube mechanical puzzle. Each element
Rubik's_Cube_group
Subclass of manifold
fundamental group is either cyclic, or is a central extension of a dihedral, tetrahedral, octahedral, or icosahedral group by a cyclic group of even order
Spherical_3-manifold
Non-abelian group of order eight
subgroup is cyclic) is either cyclic or a generalized quaternion group as defined above. Another characterization is that a finite p-group in which there
Quaternion_group
Bijective group homomorphism
integers (with the addition operation) is the "only" infinite cyclic group. Some groups can be proven to be isomorphic, relying on the axiom of choice
Group_isomorphism
a cyclic cover or cyclic covering is a covering space for which the set of covering transformations forms a cyclic group. As with cyclic groups, there
Cyclic_cover
Polynomial in combinatorial mathematics
by the group acting on itself (as a set) by (right) multiplication. This is called the regular representation of the group. The cyclic group C6 in its
Cycle_index
Group of flat spacetime symmetries
The Poincaré group, named after Henri Poincaré (1905), was first defined by Hermann Minkowski (1908) as the isometry group of Minkowski spacetime. It
Poincaré_group
Group of 𝑛 × 𝑛 invertible matrices
In mathematics, the general linear group of degree n {\displaystyle n} is the set of n × n {\displaystyle n\times n} invertible matrices, together with
General_linear_group
Commutative group in which all nonzero elements have the same order
abelian group must be of the form (Z/pZ)n for n a non-negative integer (sometimes called the group's rank). Here, Z/pZ denotes the cyclic group of order
Elementary_abelian_group
Area of mathematics
the symmetric groups, as one-dimensional representations are abelian, and the abelianization of the symmetric group is C2, the cyclic group of order 2.
Representation theory of the symmetric group
Representation_theory_of_the_symmetric_group
Mathematical function between groups that preserves multiplication structure
Consider the cyclic group Z3 = (Z/3Z, +) = ({0, 1, 2}, +) and the group of integers (Z, +). The map h : Z → Z/3Z with h(u) = u mod 3 is a group homomorphism
Group_homomorphism
Organic compounds of the form >C=O
known ketose is fructose; it mostly exists as a cyclic hemiketal, which masks the ketone functional group. Fatty acid synthesis proceeds via ketones. Acetoacetate
Ketone
Function in discrete mathematics
group, while the multidimensional DFT is a Fourier transform on a direct sum of cyclic groups. Further, Fourier transform can be on cosets of a group
Discrete_Fourier_transform
Group whose operation is composition of permutations
the group G is primitive. For example, the group of symmetries of a square is imprimitive on the vertices: if they are numbered 1, 2, 3, 4 in cyclic order
Permutation_group
Cardinality of a mathematical group, or of the subgroup generated by an element
ab=(ab)^{-1}=b^{-1}a^{-1}=ba} . The converse is not true; for example, the (additive) cyclic group Z6 of integers modulo 6 is abelian, but the number 2 has order 3: 2 +
Order_(group_theory)
right R-module N is cyclic if N = yR for some y ∈ N. 2Z as a Z-module is a cyclic module. In fact, every cyclic group is a cyclic Z-module. Every simple
Cyclic_module
Lie group of Lorentz transformations
fundamental group of the each group is isomorphic to the two-element cyclic group Z2. Twofold coverings are characteristic of spin groups. In addition
Lorentz_group
Operation that combines groups
of cyclic groups of orders 4 and 6 amalgamated over a cyclic group of order 2. If G {\displaystyle G} and H {\displaystyle H} are groups, a word
Free_product
Topics referred to by the same term
cycle, cyclic, or cyclical in Wiktionary, the free dictionary. Cycle, cycles, or cyclic may refer to: Cyclic history, a theory of history Cyclical theory
Cycle
Subgroup mapped to itself under every automorphism of the parent group
= ab; then T(H) is not contained in H. In the quaternion group of order 8, each of the cyclic subgroups of order 4 is normal, but none of these are characteristic
Characteristic_subgroup
Mathematics concept
(followed by reduction if necessary) as group operation. The identity is the empty word. A reduced word is called cyclically reduced if its first and last letter
Free_group
Group of transformations under which the object is invariant
its arbitrarily fine detail. The isometry groups in one dimension are: the trivial cyclic group C1 the groups of two elements generated by a reflection;
Symmetry_group
Periodic set of points
In geometry and group theory, a lattice in the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} is an infinite set of points in this space with
Lattice_(group)
Sporadic simple group
In the area of modern algebra known as group theory, the Rudvalis group Ru is a sporadic simple group of order 145,926,144,000 = 214 · 33 · 53 · 7 ·
Rudvalis_group
Subset of a group that forms a group itself
element a of H generates a finite cyclic subgroup of H, say of order n, and then the inverse of a is an−1. If the group operation is instead denoted by
Subgroup
automorphism group Quotient group Examples of groups Abelian group Cyclic group Rank of an abelian group Dicyclic group Dihedral group Divisible group Finitely
List_of_group_theory_topics
Group type in algebra
element is called cyclic. Every infinite cyclic group is isomorphic to the additive group of the integers Z. A locally cyclic group is a group in which every
Finitely_generated_group
Subgroup invariant under conjugation
conjugation by members of the group of which it is a part. In other words, a subgroup N {\displaystyle N} of the group G {\displaystyle G} is normal in
Normal_subgroup
If G is a finitely generated group with exponent n, is G necessarily finite?
original paper: B(1, n) is the cyclic group of order n. B(m, 2) is the direct product of m copies of the cyclic group of order 2 and hence finite. The
Burnside_problem
78-dimensional exceptional simple Lie group
fundamental group of the adjoint form of E6 (as a complex or compact Lie group) is the cyclic group Z/3Z, and its outer automorphism group is the cyclic group Z/2Z
E6_(mathematics)
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M24 is a sporadic simple group of order 244,823,040 = 210 · 33 · 5 · 7 · 11 ·
Mathieu_group_M24
Computation modulo a fixed integer
Z / m Z {\displaystyle \mathbb {Z} /m\mathbb {Z} } is a cyclic group. All finite cyclic groups are isomorphic with Z / m Z {\displaystyle \mathbb {Z} /m\mathbb
Modular_arithmetic
Five sporadic simple groups
In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Émile Mathieu (1861
Mathieu_group
Sporadic simple group
modern algebra known as group theory, the baby monster group B (or, more simply, the baby monster) is a sporadic simple group of order
Baby_monster_group
Mathematical structure with multiplication as its operation
), then the multiplicative group is cyclic: F × ≅ C q − 1 {\displaystyle F^{\times }\cong \mathrm {C} _{q-1}} . The group scheme of nth roots of unity
Multiplicative_group
Group of unitary matrices
} The unitary group is not simply connected; the fundamental group of U ( n ) {\displaystyle \operatorname {U} (n)} is infinite cyclic for all n {\displaystyle
Unitary_group
Method of exchanging cryptographic keys
cyclic group G of order n. (This is usually done long before the rest of the protocol; g and n are assumed to be known by all attackers.) The group G
Diffie–Hellman_key_exchange
Quotient of a weakly contractible space by a free action
example of a classifying space for the infinite cyclic group G is the circle as X. When G is a discrete group, another way to specify the condition on X is
Classifying_space
Undirected graph acted on by a vertex-transitive cyclic group of symmetries
undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes called a cyclic graph, but this term has
Circulant_graph
subgroup is cyclic. Every cyclic group is locally cyclic, and every finitely-generated locally cyclic group is cyclic. Every locally cyclic group is abelian
Glossary_of_group_theory
Mathematical group
In mathematics, the symplectic group is the group of linear transformations that preserve the geometric structure of phase space, the space of position
Symplectic_group
Modular arithmetic concept
generator of the multiplicative group of integers modulo n. Thus, primitive roots exist if and only if this group is a cyclic group. If g is a primitive root
Primitive_root_modulo_n
Lie group of complex numbers of unit modulus; topologically a circle
circle group. The continuous character group of T {\displaystyle \mathbb {T} } , also called its Pontryagin dual, is an infinite cyclic group generated
Circle_group
Natural number
another tetrahedron. The smallest non-cyclic group has four elements; it is the Klein four-group. An alternating groups are not simple for values n {\displaystyle
4
CYCLIC GROUP
CYCLIC GROUP
Boy/Male
Tamil
Janardhan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhan | ஜநாரà¯à®¤à®¨
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Tamil
Janardan | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardan | ஜநாரà¯à®¤à®¨
Boy/Male
Tamil
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardhana | ஜநாரà¯à®¤à®¾à®¨à®¾
Boy/Male
Hindu
Free from the cycle of births and deaths
Boy/Male
Tamil
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Free from the cycle of births and deaths
Jaramarana Varjita | ஜராமாஂரநா வரà¯à®œà¯€à®¤à®¾
Surname or Lastname
English
English : nickname from Middle English loller ‘indolent fellow’, a derivative of lolle ‘to droop, dangle, or loll’.English : nickname from Middle English lollere ‘mumbler’, bestowed on a pious person or on a Lollard (a follower of the 14th-century religious reformer John Wyclif).
Girl/Female
American, Arabic, Australian, British, Chinese, English
Stone of the Colic; The Gemstone Jade; Green in Colour
Boy/Male
Tamil
Janardana | ஜநாரà¯à®¤à®¨
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Janardana | ஜநாரà¯à®¤à®¨
Male
Spanish
Spanish name of Germanic origin, possibly GUIOMAR means "famous in battle." In the 13th century Vulgate Cycle of Arthurian romance, Sir Guiomar is the proud and beautiful knight of the crystal stream.
Boy/Male
Hindu, Indian, Marathi
Vishnu; The Healer; Who Cures the Disease of Birth and Death Cycles
Boy/Male
English
royal.
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
Boy/Male
Assamese, Hindu, Indian, Marathi
The Healer; Vishnu; Who Cures the Disease of Birth and Death Cycles
Girl/Female
Hindu, Indian, Traditional
The Periphery or Rim of a Wheel or Cycle
Boy/Male
Anglo, British, English
With Royal Might
Surname or Lastname
English
English : habitational name from a place in Cheshire named Kelsall, from the Middle English personal name Kell + Old English halh ‘nook or corner of land’, or possibly from Kelshall in Hertfordshire, which is named with an Old English personal name Cylli + Old English hyll ‘hill’, or even Kelsale in Suffolk, named with an Old English personal name Cēl(i) or Cēol + Old English halh.
Male
Irish
Irish name CAILTE means "the thin man." This is the name of a character from the Fenian cycle.
Boy/Male
Hindu
Lord Krishna, One who helps people, Liberator from the cycle of birth and death
CYCLIC GROUP
CYCLIC GROUP
Girl/Female
American, British, English
Strong and Womanly; Blend of Deanne and Variants of Andrea and Sandra; Protector of Man
Boy/Male
Anglo Saxon
Cuts down.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from places in Eure and Seine-Maritime, France, called Cailly, from a Romano-Gallic personal name Callius + the locative suffix -acum.English : habitational name from a minor place called Caley in the parish of Winwick, Lancashire, named with Old English cÄ â€˜jackdaw’ + lÄ“ah ‘woodland clearing’.Irish : reduced and altered form of McCauley.Manx : variant of Callow.
Boy/Male
British, English
Son of Walter
Boy/Male
Muslim
Helping
Boy/Male
Arabic, Muslim
Breeze; Arranger; Adjuster
Boy/Male
Tamil
Jithendriyan | ஜீதேநà¯à®¤à¯à®°à®¿à®¯à®¨
The one who wins over senses
Boy/Male
Hindu
High
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Wife of Agni; The Lord of the Fire
Boy/Male
Indian
Ideal
CYCLIC GROUP
CYCLIC GROUP
CYCLIC GROUP
CYCLIC GROUP
CYCLIC GROUP
imp. & p. p.
of Cycle
n.
The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.
a.
Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.
n.
One who rides a bicycle or tricycle; a cycler, or cyclist.
n.
A cycler.
a.
Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.
v. i.
To ride a bicycle, tricycle, or other form of cycle.
n.
A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.
n.
The act or practice of using a cycle; cycling.
a.
Of or pertaining to matter; material; corporeal; as, hylic influences.
v. i.
To pass through a cycle of changes; to recur in cycles.
a.
Having the form of, or living in, a cyst; as, the cystic entozoa.
a.
Of or pertaining to colic; affecting the bowels.
a.
Of or pertaining to the colon; as, the colic arteries.
a.
See Cystic.
n.
One entire round in a circle or a spire; as, a cycle or set of leaves.
a.
Containing cysts; cystose; as, cystic sarcoma.
a.
Alt. of Cyclical
a.
Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.
p. pr. & vb. n.
of Cycle