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 Mathieu (1861...

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 ·...

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...

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...

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 ·...

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...

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 ·...

generalization of the Mathieu moonshine phenomenon connecting representations of the Mathieu group M24 with K3 surfaces. The prehistory of Mathieu moonshine starts...

mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical...

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...

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, retrieved...

of the Janko groups, sporadic simple groups in group theory. The first few sporadic simple groups were discovered by Émile Léonard Mathieu, which were...

to group theory. In particular, the finite simple groups called Mathieu groups arise as automorphism groups of Steiner systems: The Mathieu group M11...

sporadic groups were discovered by Émile Mathieu in the 1860s and the other twenty-one were found between 1965 and 1975. Several of these groups were predicted...

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...

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....

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...

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 ⋅...

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...

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...

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...

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...

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...

of the Mathieu group M24, namely the monad group, duad group, triad group, octad group, octern group, sextet group, trio group and duum group. It can...

of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either cyclic,...

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...

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...

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...

center is the Conway group Co1, a finite simple group. Many other sporadic groups, such as the remaining Conway groups and Mathieu groups, can be constructed...

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...