c*-Quasinormally embedded subgroups of finite groups |
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Authors: | Changwen Li Jianhong Huang Bin Hu |
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Institution: | 1. School of Mathematical Science, Jiangsu Normal University, Xuzhou, 221116, China
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Abstract: | Suppose that G is a finite group and H is a subgroup of G. H is said to be s-quasinormally embedded in G if for each prime p dividing |H|, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-quasinormal subgroup of G; H is called c*-quasinormally embedded in G if there is a subgroup T of G such that G = HT and H??T is s-quasinormally embedded in G. We investigate the influence of c*-quasinormally embedded subgroups on the structure of finite groups. Some recent results are generalized. |
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