几乎SS-嵌入子群与有限群的p-幂零性

doi:10.16088/j.issn.1001-6600.2017.02.007

Abstract

Abstract: Let G be a finite group. A subgroup H of G is said to be nearly SS-quasinormal in G if G has a S-quasinormal subgroup K such that HK is S-quasinormal in G, and H∩K≤H_seG, where H_seG is the subgroup of H generated by all those subgroups of H which are SS-quasinormal in G. In this paper, by using the nearly SS-quasinormalility of n-maximal subgroups of some Sylow p-subgroup of G, some new characterizations of p-nilpotent groups are obtained and several known results are generalized.

Key words: finite groups, nearly SS-quasinormal subgroups, p-nilpotent groups

CLC Number:

O152.1

PENG Hong, ZHONG Xianggui, XIE Qing. Nearly SS-Quasinormal Subgroups and p-Nilpotency of Finite Groups[J].Journal of Guangxi Normal University(Natural Science Edition), 2017, 35(2): 45-49.

References

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Nearly SS-Quasinormal Subgroups and p-Nilpotency of Finite Groups

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