Some new criteria on p-supersolubility of finite groups

doi:10.3969/j.issn.0253-2778.2015.09.005

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (9): 733-736.DOI: 10.3969/j.issn.0253-2778.2015.09.005

• Original Paper • Previous Articles

Some new criteria on p-supersolubility of finite groups

LIU Aming, LI Baojun

College of Applied Mathematics, Chengdu University of Information and Technology, Chengdu 610225, China

Received:2014-01-15 Revised:2014-05-08 Accepted:2014-05-08 Online:2014-05-08 Published:2014-05-08

Abstract

Abstract: A subgroup H of a group G is called n-embedded in G if there exists a normal subgroup T of G，such that HT=HG and H∩T≤HsG, where HsG is the maximum s-quasinormal subgroup of G contained in H. Here, some new criteria on p-supersolubility of finite groups are obtained by n-embedded property of some subgroups.

Key words: finite group, p-supersoluble group, Sylow subgroup, n-embedded subgroup

CLC Number:

O152.

LIU Aming, LI Baojun. Some new criteria on p-supersolubility of finite groups[J]. Journal of University of Science and Technology of China, 2015, 45(9): 733-736.

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Some new criteria on p-supersolubility of finite groups

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