Английская Википедия:Baer–Suzuki theorem

Материал из Онлайн справочника
Перейти к навигацииПерейти к поиску

In mathematical finite group theory, the Baer–Suzuki theorem, proved by Шаблон:Harvtxt and Шаблон:Harvtxt, states that if any two elements of a conjugacy class C of a finite group generate a nilpotent subgroup, then all elements of the conjugacy class C are contained in a nilpotent subgroup. Шаблон:Harvtxt gave a short elementary proof.

References

Шаблон:Abstract-algebra-stub