Английская Википедия:Brauer–Suzuki theorem
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In mathematics, the Brauer–Suzuki theorem, proved by Шаблон:Harvtxt, Шаблон:Harvtxt, Шаблон:Harvtxt, 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 center 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
- Шаблон:Citation
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- Шаблон:Citation gives a detailed proof of the Brauer–Suzuki theorem.
- Шаблон:Citation
