s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups |
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| Authors: | LIU Yi QIN Ya |
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| Institution: | College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, China |
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| Abstract: | A subgroup H of G is called s -conditionally permutable in G if for every Sylow subgroup T of G , there exists an element x∈G such that HTx=TxH . In this paper, we investigate further the influence of s -conditionally permutability of some 2-maximal subgroups of the Sylow subgroup of G , on the structure of finite groups. New criteria for a group G being p -nilpotent are obtained. |
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| Keywords: | s -Conditionally permutable subgroup 2-Maximal subgroup p -Nilpotent group |
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