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On s-semipermutable subgroups of finite groups |
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| Authors: | Yang Ming Li Xuan Li He Yan Ming Wang |
| Affiliation: | 1. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, P. R. China 2. Department of Mathematics, Guangxi University, Nanning, 530004, P. R. China 3. Department of Mathematics and Lingnan College, Sun Yat-Sen University, Guangzhou, 510275, P. R. China |
| Abstract: | Suppose that G is a finite group and H is a subgroup of G. We say that H is s-semipermutable in G if H G p = G p H for any Sylow p-subgroup G p of G with (p, |H|) = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified. |
| Keywords: | s-semipermutable subgroup the generalized Fitting subgroup p-nilpotent group saturated formation |
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