Английская Википедия:Brauer–Suzuki theorem

Материал из Онлайн справочника
Перейти к навигацииПерейти к поиску

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:Abstract-algebra-stub