c-Semipermutable subgroups of finite groups |
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| Authors: | B. Hu W. Guo |
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| Affiliation: | (1) University of Science and Technology of China, Hefei, P. R. China;(2) Hefei Xuzhou Normal University, Xuzhou, P. R. China |
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| Abstract: | A subgroup is called c-semipermutable in G if A has a minimal supplement T in G such that for every subgroup T 1 of T there is an element x ∈ T satisfying AT 1 x = T 1 x A. We obtain a few results about the c-semipermutable subgroups and use them to determine the structures of some finite groups. |
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| Keywords: | finite group c-semipermutable subgroup maximal subgroups of Sylow subgroups supersoluble group p-nilpotent group |
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