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Brauer–Suzuki theorem : ウィキペディア英語版 | Brauer–Suzuki theorem In mathematics, the Brauer–Suzuki theorem, proved by , , , states that if a finite group has a generalized quaternion Sylow 2-subgroup and no non-trivial normal subgroups of odd order, then the group has a centre of order 2. In particular, such a group cannot be simple. A generalization of the Brauer–Suzuki theorem is given by Glauberman's Z * theorem. ==References==
* * * gives a detailed proof of the Brauer–Suzuki theorem. *
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「Brauer–Suzuki theorem」の詳細全文を読む
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