OnCSQ-normal subgroups of finite groups

Yong Xu; Xianhua Li

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 801-806
  • ISSN: 2391-5455

Abstract

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We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.

How to cite

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Yong Xu, and Xianhua Li. "OnCSQ-normal subgroups of finite groups." Open Mathematics 14.1 (2016): 801-806. <http://eudml.org/doc/287068>.

@article{YongXu2016,
abstract = {We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.},
author = {Yong Xu, Xianhua Li},
journal = {Open Mathematics},
keywords = {CSQ-normal subgroup; Nilpotent subgroup; Supersolvable subgroup; $CSQ$-normal subgroup; nilpotent subgroup; supersolvable subgroup},
language = {eng},
number = {1},
pages = {801-806},
title = {OnCSQ-normal subgroups of finite groups},
url = {http://eudml.org/doc/287068},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Yong Xu
AU - Xianhua Li
TI - OnCSQ-normal subgroups of finite groups
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 801
EP - 806
AB - We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.
LA - eng
KW - CSQ-normal subgroup; Nilpotent subgroup; Supersolvable subgroup; $CSQ$-normal subgroup; nilpotent subgroup; supersolvable subgroup
UR - http://eudml.org/doc/287068
ER -

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