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Mathieu group M23
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Mathieu group M23 : ウィキペディア英語版
Mathieu group M23

In the area of modern algebra known as group theory, the Mathieu group ''M23'' is a sporadic simple group of order
:   2732571123 = 10200960
: ≈ 1.
==History and properties==
''M23'' is one of the 26 sporadic groups and was introduced by . It is a 4-fold transitive permutation group on 23 objects. The Schur multiplier and the outer automorphism group are both trivial.
calculated the integral cohomology, and showed in particular that M23 has the unusual property that the first 4 integral homology groups all vanish.
The inverse Galois problem seems to be unsolved for M23. In other words no polynomial in Z() seems to be known to have M23 as its Galois group. The inverse Galois problem is solved for all other sporadic simple groups.

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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