Some sufficient conditions on solvability of finite groups-Reference-Cited by-同舟云学术

Some sufficient conditions on solvability of finite groups

Published:2016-01-27 Issue:03 Volume:15 Page:1650057
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Meng Wei¹,Lu Jiakuan²,Ma Li³,Ma Wanqing⁴

Affiliation:

1. College of Applied Science, Beijing University of Technology, Beijing 100124, P. R. China

2. School of Mathematics and Statistics, Guangxi Normal University, Guangxi, Guilin 541004, P. R. China

3. School of Mathematics and Information Science, Qujing Normal University, Yunnan, Qujing 655011, P. R. China

4. School of Mathematics and Computer Science, Yunnan Minzu University, Yunnan, Kunming 650031, P. R. China

Abstract

For a finite group [Formula: see text], the symbol [Formula: see text] denotes the set of the prime divisors of [Formula: see text] denotes the number of conjugacy classes of maximal subgroups of [Formula: see text]. Let [Formula: see text] denote the number of conjugacy classes of non-abelian subgroups of [Formula: see text] and [Formula: see text] denote the number of conjugacy classes of all non-normal non-abelian subgroups of [Formula: see text]. In this paper, we consider the finite groups with [Formula: see text] or [Formula: see text]. We show these groups are solvable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500572

Reference9 articles.

1. Endliche Gruppen I

2. Non-abelian groups in which every subgroup is abelian

3. Finite Groups with Few Non-Abelian Subgroups

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