Frattini argument for Hall subgroups

JOURNAL OF ALGEBRA

卷:414

Article

Revin, Danila Olegovitch^1,2  Vdovin, Evgeny Petrovitch^1,2 

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

关键词: Finite group;    Hall subgroup;    Normal structure of group;   

DOI  :  10.1016/j.jalgebra.2014.04.031

来源: Elsevier

【 摘 要 】

In the paper, it is proved that if a finite group G possesses a pi-Hall subgroup for a set pi of primes, then every normal subgroup A of G possesses a pi-Hall subgroup H such that G = AN(G)(H). (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free