Mathieu group M22 information

algebra known as group theory, the Mathieu group M22 is a sporadic simple group of order    27 · 32 · 5 · 7 · 11 = 443520 ≈ 4×105. M22 is one of the 26...

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...

Congo-Brazzaville M22, a vitrification agent or cryoprotectant, used in cryonics and cryopreservation The Mathieu group M22 in the mathematical field of group theory...

permutation representation on 23 points with point stabilizer the Mathieu group M22. M23 has 2 different rank 3 actions on 253 points. One is the action...

the classification of finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating, or belongs...

existence of the group J4. At the time it was thought that the full covering group of M22 was 6⋅M22. In fact J4 has no subgroup 12⋅M22.) Z. Janko (1976)...

three largest Mathieu groups, M22, M23 and M24. One particular source of confusion is that Fi24 is sometimes used to refer to the simple group Fi24′, and...

automorphism group of a S(4,5,11) Steiner system The Mathieu group M12 is the automorphism group of a S(5,6,12) Steiner system The Mathieu group M22 is the...

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...

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, M24 Janko...

regular graphs on which the Mathieu group M22 acts as symmetries taking every vertex to every other vertex. The smaller M22 graph is another. Brouwer,...

In the area of modern algebra known as group theory, the Mathieu group M24 is a sporadic simple group of order    210 · 33 · 5 · 7 · 11 · 23 = 244823040...

sporadic simple group discovered in nearly a century: until then only the Mathieu groups were known, M11 and M12 having been found in 1861, and M22, M23 and...

maximal subgroups isomorphic to the Mathieu group M22. An outer automorphism interchanges the two classes of M22 groups. This outer automorphism is realized...

PΓL(3, 4), and finally to the Mathieu group M24. M24 also contains copies of PSL(2, 11), which is maximal in M22, and PSL(2, 23), which is maximal in M24...

the category has a set of generators. The Schur multiplier of the Mathieu group M22 is particularly notorious as it was miscalculated more than once:...

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,...

the alternating groups, symmetric groups, and Mathieu groups have 4-transitive actions, and so can be made into rank 3 permutation groups. The projective...

and their negatives form a coplanar hexagon fixed by ζ and M22; these generate a group Fi21 ≈ U6(2). α (vide supra) extends this to Fi21:2, which is...

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...

Cost-Effectiveness Analysis". Annals of Internal Medicine. 176 (6): 788–797. doi:10.7326/M22-3228. ISSN 0003-4819. PMC 11091494. PMID 37216661. S2CID 258834225. Hug,...