ON WEAKLY SS-QUASINORMAL SUBGROUPS OF FINITE GROUPS
Keywords:
s-permutable subgroup, SS-quasinormal subgroup, weakly SS-quasinormal subgroup, p-nilpotent group, formationAbstract
Let H be a subgroup of a finite group G, then we say that H is weakly SS-quasinormal in G, if there exists a normal subgroup T of G such that HT is s-permutable and H ∩ T is SS-quasinormal in G. In this paper, we investigate the influence of some weakly SS-quasinormal subgroups on the structure of G. Some new criterias about the p-nilpotency and supersolubility of a finite group were obtained. We also generalized some known results about formations.
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Published
2015-12-31
How to Cite
Zhao, T., Lu, G., & Lv, C. (2015). ON WEAKLY SS-QUASINORMAL SUBGROUPS OF FINITE GROUPS. Italian Journal of Pure and Applied Mathematics, 35, 61–74. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6457
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Section
Articoli - Forum Editrice
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Copyright (c) 2015 Tao Zhao, Gangfu Lu, Chengjun Lv
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
