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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
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
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M11 is a sporadic simple group of order 7,920 = 11 · 10 · 9 · 8 = 24 · 32 · 5 ·
Mathieu_group_M11
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M12 is a sporadic simple group of order 95,040 = 12 · 11 · 10 · 9 · 8 = 26 ·
Mathieu_group_M12
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M23 is a sporadic simple group of order 10,200,960 = 27 · 32 · 5 · 7 · 11 · 23
Mathieu_group_M23
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M22 is a sporadic simple group of order 443,520 = 27 · 32 · 5 · 7 · 11 ≈ 4×105
Mathieu_group_M22
Construction in group theory
the Mathieu group M24, one of the sporadic simple groups; in this context, one refers to PSL(3, 4) as M21, though it is not properly a Mathieu group itself
Projective_linear_group
Groupoid related to the Mathieu group M12
mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12. It was introduced
Mathieu_groupoid
Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)
functions. It is a generalization of the Mathieu moonshine phenomenon connecting representations of the Mathieu group M24 with K3 surfaces. The usage of the
Umbral_moonshine
Block design in combinatorial mathematics
to group theory. In particular, the finite simple groups called Mathieu groups arise as automorphism groups of Steiner systems: The Mathieu group M11
Steiner_system
the automorphism group of the projective geometry of a vector space. The group PΓL(3,4) can be used to construct the Mathieu group M24, which is one
Semilinear_map
Finite simple group type not classified as Lie, cyclic or alternating
sporadic groups were discovered by Émile Mathieu in the 1860s and the other twenty-one were found between 1965 (J1) and 1975 (J4). Several of these groups were
Sporadic_group
Natural number
and angle trisector. The Mathieu group M 11 {\displaystyle \mathrm {M} _{11}} is the smallest of twenty-six sporadic groups. It has order 7920 = 2 4 ⋅
11_(number)
Natural number
{\displaystyle \mathbb {B} _{23}} has Mathieu group M 23 {\displaystyle \mathbb {M} _{23}} as its automorphism group, which is the second largest member
23_(number)
Automorphism group of the Klein quartic
subgroup of the Mathieu group M21, the subgroup acts non-transitively on 21 points. (Richter) Richter, David A., How to Make the Mathieu Group M24, archived
PSL(2,7)
Theorem classifying finite simple groups
of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either cyclic,
Classification of finite simple groups
Classification_of_finite_simple_groups
Monster and modular connection
T14C into representations of 2.A7 T11A into representations of the Mathieu group 2.M12 Queen found that the traces of non-identity elements also yielded
Monstrous_moonshine
Type of linear error-correcting code
invariant), is the Mathieu group M 23 {\displaystyle M_{23}} . The automorphism group of the extended binary Golay code is the Mathieu group M 24 {\displaystyle
Binary_Golay_code
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
Natural number
design. The automorphism group of the extended binary Golay code, equivalently of this Steiner system, is the Mathieu group M 24 {\displaystyle M_{24}}
24_(number)
Natural number
The five Mathieu groups constitute the first generation in the happy family of sporadic groups. These are also the first five sporadic groups to have been
5
Natural number
22 appears prominently within sporadic groups. The Mathieu group M22 is one of 26 sporadic finite simple groups, defined as the 3-transitive permutation
22_(number)
Name list
Mathieu is both a surname and a given name. Notable people with the name include: André Mathieu (1929–1968), Canadian pianist and composer Anselme Mathieu
Mathieu
Croatian mathematician (1932–2022)
of the Janko groups, sporadic simple groups in group theory. The first few sporadic simple groups were discovered by Émile Léonard Mathieu, which were
Zvonimir_Janko
Index of articles associated with the same name
known as group theory, the Janko groups are the four sporadic simple groups J1, J2, J3 and J4 introduced by Zvonimir Janko. Unlike the Mathieu groups, Conway
Janko_group
Natural number
the order of the friendly giant, the largest sporadic group: five first generation Mathieu groups, seven second generation subquotients of the Leech lattice
6
Strongly regular graph
automorphism group is the Mathieu group M22. Cameron graph Higman–Sims graph Gewirtz graph "Mesner graph with parameters (77,16,0,4). The automorphism group is
M22_graph
Mathematical tool
is a mathematical tool introduced by Rob T. Curtis for studying the Mathieu groups, binary Golay code and Leech lattice. The Miracle Octad Generator is
Miracle_Octad_Generator
Transformations induced by a mathematical group
This is useful, for instance, in studying the action of the large Mathieu group on a 24-set and in studying symmetry in certain models of finite geometries
Group_action
24-dimensional repeating pattern of points
group Co1, a finite simple group, and one of the sporadic groups. Many other sporadic groups, such as the remaining Conway groups and Mathieu groups,
Leech_lattice
Theory of subatomic structure
Tachikawa discovered connections between a different sporadic group, the Mathieu group M24, and a certain version[which?] of string theory. Miranda Cheng
String_theory
Group without normal subgroups other than the trivial group and itself
classical groups. At about the same time, it was shown that a family of five groups, called the Mathieu groups and first described by Émile Léonard Mathieu in
Simple_group
Four finite groups derived from the Leech lattice
code (as diagonal matrices with 1 or −1 as diagonal elements) by the Mathieu group M24 (as permutation matrices). N ≈ 212:M24. A standard representation
Conway_group
Topics referred to by the same term
of IEC metric screw sized electrical connector Mathieu group M12, in the mathematical field of group theory Magic 2012, the thirteenth core set in Magic:
M12
French singer (born 1946)
Mireille Mathieu (French pronunciation: [miʁɛj matjø] ; born 22 July 1946) is a French singer. She has recorded over 1,200 songs in eleven languages,
Mireille_Mathieu
French investment banker
company to Czech businessman Daniel Křetínský. Le Monde's Independency Group, a minority shareholder that aims to protect the paper's editorial independence
Matthieu_Pigasse
Topics referred to by the same term
star cluster also known as the Wild Duck Cluster Mathieu group M11 in the mathematical field of group theory Ritter M11 UltraClave, a model of autoclave
M11
Group whose operation is composition of permutations
Permutation Groups in 1964. 2-transitive group Rank 3 permutation group Mathieu group The notations SM and SM are also used. Rotman 2006, p. 148, Definition
Permutation_group
1898 Miller published a paper incorrectly claiming to prove that the Mathieu group M24 does not exist, though in 1900 he pointed out that his proof was
List_of_incomplete_proofs
French mathematician
mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical
Émile_Léonard_Mathieu
Finite group
quasidihedral: PSL3(Fq) for q ≡ 3 mod 4, PSU3(Fq) for q ≡ 1 mod 4, the Mathieu group M11, GL2(Fq) for q ≡ 3 mod 4. Dummit, D. S.; Foote, R. (2004). Abstract
Quasidihedral_group
French footballer (born 1983)
Jérémy Mathieu (born 29 October 1983) is a French former professional footballer who played as a centre-back or a left-back. Mathieu made 172 Ligue 1
Jérémy_Mathieu
Mathematical connection between field theory and group theory
(Mathieu group M23) of the 26 sporadic simple groups. There is even a polynomial with integral coefficients whose Galois group is the Monster group. In
Galois_theory
French association football player (born 1985)
Mathieu Debuchy (French pronunciation: [matjø dəbyʃi]; born 28 July 1985) is a French former professional footballer who played as a right-back. Debuchy
Mathieu_Debuchy
Set with associative invertible operation
related to the appearance of Goldstone bosons. Finite symmetry groups such as the Mathieu groups are used in coding theory, which is in turn applied in error
Group_(mathematics)
Unsolved problem in mathematics
solvable group is realizable over Q {\displaystyle \mathbb {Q} } . It is also known that every simple sporadic group, except possibly the Mathieu group M23
Inverse_Galois_problem
German mathematician
2-subgroup of the Mathieu group M24 on 24 letters. Shortly afterwards Graham Higman and John McKay demonstrated that such a group exists, using a computer
Dieter_Held
Strongly regular graph
It is one of a small number of strongly regular graphs on which the Mathieu group M22 acts as symmetries taking every vertex to every other vertex. The
Cameron_graph
French footballer (born 1984)
Mathieu Pierre Flamini (born 7 March 1984) is a French entrepreneur and former professional footballer. A midfielder, he played for French side Marseille
Mathieu_Flamini
Dutch cyclist
Mathieu van der Poel nicknamed "The Flying Dutchman" (born 19 January 1995) is a Belgian-born Dutch professional cyclist who currently rides for the UCI
Mathieu_van_der_Poel
linear group Group of Lie type Group scheme HN group Janko group Lie group Simple Lie group Linear algebraic group List of finite simple groups Mathieu group
List_of_group_theory_topics
Aspect of mathematical group theory
exceptional itself. The full automorphism group of A6 appears naturally as a maximal subgroup of the Mathieu group M12 in 2 ways, as either a subgroup fixing
Automorphisms of the symmetric and alternating groups
Automorphisms_of_the_symmetric_and_alternating_groups
French footballer (born 1984)
Mathieu Valbuena (born 28 September 1984) is a French professional footballer who plays as an attacking midfielder for Olympiacos B. He occasionally plays
Mathieu_Valbuena
Concept in group theory
there is a group element g in G which maps ai to bi for each i between 1 and k. The Mathieu groups are important examples. Every group is trivially
Multiply transitive group action
Multiply_transitive_group_action
French politician (born 1986)
French-Israeli Parliamentary Friendship Group from 2023 to 2024. "Législatives dans le Val-de-Marne : Mathieu Lefèvre, seul nouveau visage de la majorité
Mathieu_Lefèvre
French fashion designer (1936–2008)
Yves Henri Donat Mathieu-Saint-Laurent (1 August 1936 – 1 June 2008), better known as Yves Saint Laurent (/ˌiːv ˌsæ̃ lɔːˈrɒ̃/, also UK: /- lɒ-/, US: /-
Yves_Saint_Laurent_(designer)
Natural number
number of objects that are permuted by the series of five finite, simple Mathieu groups M n {\displaystyle \mathbb {M} _{n}} (collectively), as defined by permutations
92_(number)
Compact Riemann surface of genus 3
The automorphism group can be augmented (by a symmetry which is not realized by a symmetry of the tiling) to yield the Mathieu group M24. Corresponding
Klein_quartic
related to the Leech lattice. The Mathieu group M 24 {\displaystyle M_{24}} , one of the sporadic simple groups, is the group of automorphisms of the extended
Exceptional_object
Natural number
7919 – 1000th prime number 7920 – the order of the Mathieu group M11, the smallest sporadic simple group 7921 = 892, centered octagonal number 7944 – nonagonal
7000_(number)
Pair of related error-correcting codes
The automorphism group of the (original) ternary Golay code is the Mathieu group M11, which is the smallest of the sporadic simple groups. The complete weight
Ternary_Golay_code
PSU3(2n) The Suzuki groups Sz(2n) The Tits group 2F4(2)' The Steinberg group 3D4(2) The Mathieu group M11 The Janko group J1 Quasithin group Aschbacher, Michael
Thin group (finite group theory)
Thin_group_(finite_group_theory)
Category where every morphism is invertible; generalization of a group
point form a copy of the Mathieu group M12. If a groupoid has only one object, then the set of its morphisms forms a group. Using the algebraic definition
Groupoid
automorphism group of A6 is M10, the Mathieu group of degree 10, whose Schur cover is a triple cover. The Schur covers of the symmetric group S6 itself have
Covering groups of the alternating and symmetric groups
Covering_groups_of_the_alternating_and_symmetric_groups
Sporadic simple group
maximal subgroups isomorphic to the Mathieu group M22. An outer automorphism interchanges the two classes of M22 groups. This outer automorphism is realized
McLaughlin_sporadic_group
projective special unitary groups over a finite field of odd order, depending on a certain congruence, or to the Mathieu group M 11 {\displaystyle M_{11}}
Alperin–Brauer–Gorenstein theorem
Alperin–Brauer–Gorenstein_theorem
Sporadic simple group
special group 21+6 by the linear group L3(2), which is the same involution centralizer as the Mathieu group M24. A second such group is the linear group L5(2)
Held_group
Concept in incidence geometry
1990s. Some sporadic simple groups, for example the Hall-Janko group and the Mathieu groups, act as automorphism groups of near polygons. A near 2d-gon
Near_polygon
Sporadic simple group
check for other rank 3 permutation groups on 100 points. They soon focused on a possible one containing the Mathieu group M22, which has permutation representations
Higman–Sims_group
1988 mathematical book
The interrelated topics featured in the book include Golay codes, Mathieu groups and Monstrous Moonshine. Many of the chapters are updates of papers
Sphere Packings, Lattices and Groups
Sphere_Packings,_Lattices_and_Groups
Algebraic structure
Sp6(2) The alternating groups on 5, 6, 8, 9 points PSL2(p) for p a Fermat or Mersenne prime, Lε 3(3), Lε 4(3), G2(3) The Mathieu groups M11, M12, M22, M23
Quasithin_group
Topics referred to by the same term
Manhattan BFW M.23, two-seater sports plane The Mathieu group M23 in the mathematical field of group theory m23 software distribution system, a Linux
M23
English mathematician (1937–2020)
connections to string theory. Conway introduced the Mathieu groupoid, an extension of the Mathieu group M12 to 13 points. As a graduate student, he proved
John_Horton_Conway
French mathematician (1838–1922)
also investigated the Mathieu groups, the first examples of sporadic groups. His Traité des substitutions, on permutation groups, was published in 1870;
Camille_Jordan
Type of smooth complex surface of kodaira dimension 0
Enriques surface Tate conjecture Mathieu moonshine, a mysterious relationship between K3 surfaces and the Mathieu group M24. Huybrechts (2016), Remark 1
K3_surface
Topics referred to by the same term
movement in the People's Republic of Congo. The Mathieu group M24 in the mathematical field of group theory M-24 (Michigan highway), a state highway in
M24
French musical group
Kid Francescoli is an electropop project by French musician Mathieu Hocine. The project was founded by Hocine in 2002 in Marseille. The name is a tribute
Kid_Francescoli
endpoints of the edges that bisect the squares and octahedra) to yield the Mathieu group M24. Compound of five small cubicuboctahedra List of uniform polyhedra
Small_cubicuboctahedron
Mathematical group
that other finite simple groups exist (for example, Mathieu groups), gradually a belief formed that nearly all finite simple groups can be accounted for by
Group_of_Lie_type
\mathrm {A} _{6}.} Two other groups, the Mathieu group M 10 {\displaystyle \mathrm {M} _{10}} and the projective general linear group PGL 2 ( 9 ) {\displaystyle
Almost_simple_group
French novelist (born 1978)
Nicolas Mathieu (French pronunciation: [nikɔla matjø]; born 2 June 1978 in Épinal) is a French novelist who has also written short fiction and children's
Nicolas_Mathieu_(writer)
French singer-songwriter
Mathieu Blanc-Francard, known professionally as Sinclair (born 19 July 1970), is a French musician and singer-songwriter. Born in 1970 at Tours, France
Sinclair_(singer)
British geometer
1017/S0305004100034642. Todd, J. A. (1966). "A representation of the Mathieu group M24 as a collineation group". Annali di Matematica Pura ed Applicata. 71 (4): 199–238
J._A._Todd
French worker and illegalist anarchist
gang, a closely linked and similar group. Following the arrest of some of the Intransigents and Schouppe, Mathieu moved to the northern districts of Paris
Gustave_Mathieu
3-transpositions in the symmetry group Fi22 of the graph. The Fischer groups are named by analogy with the large Mathieu groups. In Fi22 a maximal set of 3-transpositions
Fischer_group
unitary group U3(3), the alternating group A7, the Mathieu group M11, and the Tits group. (The Tits group was overlooked in Thomson's original announcement
N-group_(finite_group_theory)
Polynomial that permutes a ring
GF(qr) form a group under the operation of composition modulo x q r − x {\displaystyle x^{q^{r}}-x} , which is known as the Betti-Mathieu group, isomorphic
Permutation_polynomial
Sporadic simple group
or 24 then it is contained in either Z/2Z × Co2 or Z/2Z × Co3. The Mathieu group M23 is isomorphic to a maximal subgroup of Co2 and one representation
Conway_group_Co2
Series of murders in New Zealand
planning to meet the Mathieu party in Nelson to return the horse to Canvastown, however when Moller did not see or catch up on the group on the track or in
Maungatapu_murders
Musical artist
Mathieu Bordaraud (French pronunciation: [matjø bɔʁdaʁo]; born 27 May 1990), better known by his stage name Mathieu Koss, is a French DJ, record producer
Mathieu_Koss
American indie rock band
Riot is an American indie rock band consisting of Wes Miles (vocals); Mathieu Santos (bass); Milo Bonacci (guitar); Rebecca Zeller (violin); and Kenny
Ra_Ra_Riot
Theorem in algebraic geometry
2012-03-05, retrieved 2015-09-04 Richter, David A., How to Make the Mathieu Group M24, archived from the original on 2010-01-16, retrieved 2010-04-15
Hurwitz's automorphisms theorem
Hurwitz's_automorphisms_theorem
Sporadic simple group
sporadic group to be found since the discovery of the Mathieu groups in the 19th century. Its discovery launched the modern theory of sporadic groups. In 1986
Janko_group_J1
Positive-definite integral set of repeated points with Abelian group-rank 24
simple groups. The Leech lattice is acted on by a double cover of the Conway group, and the lattices A124 and A212 are acted on by the Mathieu groups M24
Niemeier_lattice
Higman–Sims group Janko groups Lyons group The Mathieu groups McLaughlin group Monster group O'Nan group Rudvalis group Suzuki sporadic group Thompson group Counterexample
List_of_mathematical_examples
Topics referred to by the same term
cryoprotectant, used in cryonics and cryopreservation The Mathieu group M22 in the mathematical field of group theory M22 graph, in graph theory Messier 22, a globular
M22
Dutch-American music corporation
Buy Universal Music Group for Around $60 Billion". The Wall Street Journal. Retrieved April 15, 2026. Rosemain, Marchandon, Mathieu, Leo (May 27, 2026)
Universal_Music_Group
Social networking service owned by Meta Platforms
WhatsApp transactions". Marketwatch. Retrieved December 9, 2020. Rosemain, Mathieu (January 6, 2022). "Google hit with 150 mln euro French fine for cookie
Pandemic caused by SARS-CoV-2
end to COVID global health emergency". Reuters. Retrieved 9 May 2023. Mathieu E, Ritchie H, Rodés-Guirao L, Appel C, Giattino C, Hasell J, et al. (2020–2024)
COVID-19_pandemic
2023 armed incursions and massacres in Israel
ISSN 0261-3077. Retrieved February 3, 2025. Confavreux, Josep; Dejean, Mathieu (November 5, 2023). "Enzo Traverso : la guerre à Gaza « brouille la mémoire
October_7_attacks
MATHIEU GROUP
MATHIEU GROUP
Male
English
Variant spelling of English Matthias, MATHIAS means "gift of God."
Boy/Male
Scandinavian Welsh American
Gift of God.
Boy/Male
French Hebrew
Gift of God.
Female
English
Pet form of English Matilda, MATTIE means "mighty in battle." Compare with masculine Mattie.
Boy/Male
Australian, Dutch, Hebrew
Gift of the Lord
Male
French
French and German form of Greek Mattathias, MATHIS means "gift of God."
Boy/Male
Australian, Dutch, French, German, Hebrew
Gift of God
Surname or Lastname
English
English : patronymic from a pet form of Matthew.Dutch : from a variant of the personal name Mathias (see Matthew).
Male
English
Variant spelling of English Matthew, MATHEW means "gift of God."
Male
French
Variant spelling of French Mathieu, MATTHIEU means "gift of God."
Boy/Male
Australian, Dutch, French, German, Hebrew, Swiss
Gift of the Lord
Girl/Female
Teutonic German
Battle maiden.
Surname or Lastname
Dutch and French
Dutch and French : from a variant of the personal name Mathias (see Matthew).English : patronymic from a pet form of Matthew.
Surname or Lastname
English
English : occupational name for a mower or reaper of grass or hay, Old English mǣðere. Compare Mead, Mower. Hay was formerly of great importance, not only as feed for animals in winter but also for bedding.English : in southern Lancashire, where it has long been a common surname, it is probably a relatively late development of Madder (see Mader).English : The prominent Mather family of New England were established in America by Richard Mather (1596–1669) in 1635. He was a Puritan clergyman from a well-established family of Lowton, Lancashire, England. After he emigrated, he was in great demand as a preacher, finally settling in Dorchester, MA. His son Increase Mather (1639–1723) was a diplomat and president of Harvard. He married his step-sister Maria Cotton, herself the daughter of an eminent Puritan divine, John Cotton. Their son Cotton Mather (1663–1728) bore both family names. The latter was a minister who is remembered for his part in witchcraft trials, but he was also a man of science and a fellow of the Royal Society in London.
Female
English
Variant spelling of English Kathy, KATHIE means "pure."
Boy/Male
Australian, Hebrew
Gift of the Lord
Surname or Lastname
English
English : patronymic from a pet form of Matthew.French (Mathès) and German : from the personal names Mathias or Mattheus (see Matthew).
Male
French
French form of Hebrew Mattithyah, MATHIEU means "gift of God."
Male
English
Pet form of English Matthew, MATTIE means "gift of God." Compare with feminine Mattie.
Boy/Male
French
Gift of God.
MATHIEU GROUP
MATHIEU GROUP
Girl/Female
Australian, British, English
Fair One
Boy/Male
Tamil
Dhyutidhara | தà¯à®¯à¯à®¤à¯€à®¤à®¾à®°à®¾
Lord of brilliance
Boy/Male
Indian, Sanskrit
The Savior
Girl/Female
Hindu
One who inspires
Boy/Male
Hindu, Indian
Race in Life
Surname or Lastname
English
English : variant spelling of Milham.
Girl/Female
Muslim
Gazing
Boy/Male
English
From the sword grass place.
Boy/Male
Sikh
Lord Rishi
Surname or Lastname
English
English : variant of Condie.
MATHIEU GROUP
MATHIEU GROUP
MATHIEU GROUP
MATHIEU GROUP
MATHIEU GROUP
imp. & p. p.
of Group
n.
A dyestuff of the induline group, made from aniline, and used as a substitute for indigo in dyeing wool and silk a violet-blue or a gray-blue color.
n.
To form a group of; to arrange or combine in a group or in groups, often with reference to mutual relation and the best effect; to form an assemblage of.
n.
See Madder.
n.
A cluster, crowd, or throng; an assemblage, either of persons or things, collected without any regular form or arrangement; as, a group of men or of trees; a group of isles.
n. pl.
An extensive artificial division of the animal kingdom, including the parasitic worms, or helminths, together with the nemerteans, annelids, and allied groups. By some writers the branchiopods, the bryzoans, and the tunicates are also included. The name was used in a still wider sense by Linnaeus and his followers.
n.
The missionary who first plants the Christian faith in any part of the world; also, one who initiates any great moral reform, or first advocates any important belief; one who has extraordinary success as a missionary or reformer; as, Dionysius of Corinth is called the apostle of France, John Eliot the apostle to the Indians, Theobald Mathew the apostle of temperance.
n.
The mayweed. Cf. Maghet.
n. pl.
A group of butterflies including those known as virgins, or gossamer-winged butterflies.
n.
An individual, or group of individuals, of a species differing from the rest in some one or more of the characteristics typical of the species, and capable either of perpetuating itself for a period, or of being perpetuated by artificial means; hence, a subdivision, or peculiar form, of a species.
n.
A rare element of the nitrogen-phosphorus group, found combined, in vanadates, in certain minerals, and reduced as an infusible, grayish-white metallic powder. It is intermediate between the metals and the non-metals, having both basic and acid properties. Symbol V (or Vd, rarely). Atomic weight 51.2.
a.
Of or pertaining to a verb; as, a verbal group; derived directly from a verb; as, a verbal noun; used in forming verbs; as, a verbal prefix.
n.
A fat herring with undeveloped roe.
n.
A group of minerals having, a micaceous structure. They are hydrous silicates, derived generally from the alteration of some kind of mica. So called because the scales, when heated, open out into wormlike forms.
n.
An assemblage of objects in a certain order or relation, or having some resemblance or common characteristic; as, groups of strata.
p. pr. & vb. n.
of Group
n. pl.
A more restricted group, comprising only the helminths and closely allied orders.
n.
One of several species of valuable food fishes of the genus Epinephelus, of the family Serranidae, as the red grouper, or brown snapper (E. morio), and the black grouper, or warsaw (E. nigritus), both from Florida and the Gulf of Mexico.