Finite groups with biprimary Hall subgroups

JOURNAL OF ALGEBRA

卷:443

Article

Tyutyanov, Valentin N.¹  Kniahina, Viktoryia N.² 

[1] Int Univ MITSO, Gomel Branch, Gomel 246019, BELARUS

[2] Gomel Engn Inst, Gomel 246035, BELARUS

关键词: Finite groups;    Hall subgroups;    Simple groups;    pi-Hall subgroups;   

DOI  :  10.1016/j.jalgebra.2015.08.003

来源: Elsevier

【 摘 要 】

Let G be a finite group and let r be a prime divisor of the order of G. We prove that if r >= 5 and G has the E-{r,E-t}-property for all t is an element of pi(G)\{r}, then G is r-solvable. A group G is said to have the E-pi-property if G possesses a Hall pi-subgroup. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free