s-Permutably embedded subgroups and p-supersolvable groups |
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| Authors: | ShouHong Qiao YanMing Wang |
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| Institution: | 1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China
2. Lingnan College and Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China
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| Abstract: | Let G be a finite group, and H a subgroup of G. H is called s-permutably embedded in G if each Sylow subgroup of H is a Sylow subgroup of some s-permutable subgroup of G. In this paper, we use s-permutably embedding property of subgroups to characterize the p-supersolvability of finite groups, and obtain some interesting results which improve some recent results. |
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| Keywords: | finite groups s-permutably embedded subgroups p-supersolvable groups |
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