Notes on NE-subgroups of finite groups

doi:10.1007/s11464-010-0078-5

Front Math Chin

2010, Vol. 5

Issue (4) : 679-685 https://doi.org/10.1007/s11464-010-0078-5

RESEARCH ARTICLE

Notes on NE-subgroups of finite groups

Jiakuan LU¹, Xiuyun GUO²(

)

1. College of Mathematical Sciences, Guangxi Normal University, Guilin 541004, China; 2. Department of Mathematics, Shanghai University, Shanghai 200444, China

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Abstract

In this paper, we first analyze the structure of a finite nonsolvable group in which every cyclic subgroup of order 2 and 4 of every second maximal subgroup is an NE-subgroup. Next, we prove that a finite group G is solvable if every nonnilpotent subgroup of G is a PE-group.

Keywords NE-subgroup solvable group p-nilpotent group

Corresponding Author(s): GUO Xiuyun,Email:xyguo@staff.shu.edu.cn

Issue Date: 05 December 2010

Cite this article:

Jiakuan LU,Xiuyun GUO. Notes on NE-subgroups of finite groups[J]. Front Math Chin, 2010, 5(4): 679-685.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-010-0078-5
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I4/679

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