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Mathieu group M22
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Mathieu group M22 : ウィキペディア英語版
Mathieu group M22

In the area of modern algebra known as group theory, the Mathieu group ''M22'' is a sporadic simple group of order
:   27325711 = 443520
: ≈ 4.
==History and properties==
''M22'' is one of the 26 sporadic groups and was introduced by . It is a 3-fold transitive permutation group on 22 objects. The Schur multiplier of M22 is cyclic of order 12, and the outer automorphism group has order 2.
There are several incorrect statements about the 2-part of the Schur multiplier in the mathematical literature.
incorrectly claimed that the Schur multiplier of M22 has order 3, and in a correction incorrectly claimed that it has order 6. This caused an error in the title of the paper announcing the discovery of the Janko group J4. showed that the Schur multiplier is in fact cyclic of order 12.
calculated the 2-part of all the cohomology of M22.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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