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Articles

The influence of non-cp-normal subgroups on the structure of non-solvable groups

, , &
Pages 4781-4790 | Received 12 Dec 2021, Accepted 28 Apr 2022, Published online: 31 May 2022
 

Abstract

In this paper, we investigate the structure of non-solvable groups by using the properties of some second maximal subgroups which related to non-cp-normal maximal subgroups and obtain some new characterizations of non-solvable groups.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

Additional information

Funding

This research is supported by NSFC(Grant # 11871062) and NSFC-RFBR(Grant # 12011530061), the Natural Science Foundation of Jiangsu Province(Grant # BK20181451).

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