On non-normal cyclic subgroups of prime order or order 4 of finite groups

On non-normal cyclic subgroups of prime order or order 4 of finite groups

In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG. Using the property of NLMNLM-groups and NCMNCM-groups, we g...

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Bibliographic Details
Main Authors: Guo Pengfei, Han Zhangjia
Format: Article
Language:English
Published: De Gruyter 2021-03-01
Series:Open Mathematics
Subjects:
normal subgroups
minimal subgroups
maximal subgroups
supersolvable groups
t-groups
20e34
20f16
Online Access:https://doi.org/10.1515/math-2021-0012

Internet

https://doi.org/10.1515/math-2021-0012

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