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Sporadic simple group
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 · 11. M11 is one of the
Mathieu_group_M11
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
permutation representation on 12 points, whose point stabilizer is the Mathieu group M11. Identifying the 12 points with the projective line over the field
Mathieu_group_M12
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
Topics referred to by the same term
Messier 11 (M11), an open star cluster also known as the Wild Duck Cluster Mathieu group M11 in the mathematical field of group theory Ritter M11 UltraClave
M11
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 simple group type not classified as Lie, cyclic or alternating
constructed. Most of the groups are named after the mathematician(s) who first predicted their existence. The full list is: Mathieu groups M11, M12, M22, M23,
Sporadic_group
Algebraic structure
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, M24
Quasithin_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)
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)
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 is
Steiner_system
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)
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
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
Index of articles associated with the same name
was the first sporadic simple group discovered in nearly a century: until then only the Mathieu groups were known, M11 and M12 having been found in 1861
Janko_group
Theorem classifying finite simple groups
theorem which implies that the only simple groups are isomorphic to L3(q) or U3(q) for q odd or M11, and the last case was done by Lyons who showed
Classification of finite simple groups
Classification_of_finite_simple_groups
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
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
the alternating groups, symmetric groups, and Mathieu groups have 4-transitive actions, and so can be made into rank 3 permutation groups. The projective
Rank_3_permutation_group
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
British light tank of the 1930s and WW2
Guadalajara (1937), captured some of these tanks which served as models for their M11/39 and M13/40 medium tanks. In 1939, during the Soviet-Finnish Winter War
Vickers_6-ton
Nuclear bomb
original on October 29, 2013. Retrieved October 25, 2013. Rabechault, Mathieu (6 November 2013). "US to spend billions 'modernizing' nuclear arsenal"
B61_nuclear_bomb
Formula One racing car, used in 2020 and 2021
heat-sensitive areas, are still painted. In comparison, both the Mercedes M11 and Honda RA620H received upgrades at the Austrian Grand Prix, while the
McLaren_MCL35
Avenue in New York City
City Bus's M5 route covers Riverside Drive south of 135th Street, while the M11 serves the avenue from 135th to 145th Street. The Bx6 and Bx6 SBS serve Riverside
Riverside_Drive_(Manhattan)
its own network of highways and motorways. Motorways extending from M1 to M11 will eventually connect the whole length of the country from Peshawar to
Highway_systems_by_country
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