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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Mathieu group M12 ： ウィキペディア英語版 Mathieu group M12 In the area of modern algebra known as group theory, the Mathieu group ''M12'' is a sporadic simple group of order :   2633511 = 95040 = 12×11×10×9×8 : ≈ 1. ==History and properties== ''M12'' is one of the 26 sporadic groups and was introduced by . It is a sharply 5-transitive permutation group on 12 objects. showed that the Schur multiplier of M12 has order 2 (correcting a mistake in where they incorrectly claimed it has order 1). The double cover had been implicitly found earlier by , who showed that M12 is a subgroup of the projective linear group of dimension 6 over the finite field with 3 elements. The outer automorphism group has order 2, and the full automorphism group M12.2 is contained in M24 as the stabilizer of a pair of complementary dodecads of 24 points, with outer automorphisms of M12 swapping the two dodecads. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Mathieu group M12」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.