ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS-Reference-Cited by-同舟云学术

ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS

Published:2013-05-09 Issue:06 Volume:12 Page:1350019
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

LI CHANGWEN¹,ZHANG XUEMEI²,WANG YAN³

Affiliation:

1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, P. R. China

2. Department of Basic Sciences, Yancheng Institute of Technology, Yancheng 224051, P. R. China

3. Kewen Institute, Jiangsu Normal University, Xuzhou 221116, P. R. China

Abstract

Consider a finite group G. A subgroup H of G is said to be E-supplemented in G if there is a subgroup T of G such that G = HT and H ∩ T ≤ HeG, where HeG denotes the subgroup of H generated by all those subgroups of H which are S-quasinormally embedded in G. In this paper, we investigate the influence of E-supplemented subgroups on the structure of finite groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813500199

Reference20 articles.

1. On S-quasinormally embedded subgroups of finite groups

2. Finite Groups Whose Minimal Subgroups arec-Supplemented

3. Sufficient conditions for supersolubility of finite groups

4. c*-Quasinormally embedded subgroups of finite groups

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