On SS-Quasinormal Subgroups of Finite Groups |
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| Authors: | Shirong Li Xianghong Kong |
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| Institution: | 1. Department of Mathematics , Guangxi University , Nanning, Guangxi, China;2. School of Science , Beijing Jiaotong University , Beijing, China |
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| Abstract: | A subgroup of a group G is said to be Sylow-quasinormal (S-quasinormal) in G if it permutes with every Sylow subgroup of G. A subgroup H of a group G is said to be Supplement-Sylow-quasinormal (SS-quasinormal) in G if there is a supplement B of H to G such that H is permutable with every Sylow subgroup of B. In this article, we investigate the influence of SS-quasinormal of maximal or minimal subgroups of Sylow subgroups of the generalized Fitting subgroup of a finite group. |
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| Keywords: | Nilpotent groups p-nilpotent groups Saturated formations S-quasinormal subgroups SS-quasinormal subgroups Supersolvable groups |
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