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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）』
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