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有限群的s-半置换子群
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Abstract:
设G为有限群， H为G的子群。 若对G的任意满足(|P |, |H|) = 1的Sylow 子群P ， 都有GpH = HGp成立，则称H为G的s-半置换子群。 本文，我们主要探究具有若干s-半置换子群的有限群的结构。 我们的结论推广了前人的若干结果。
Suppose that G is a finite group and H is a subgroup of G. We say that H is s- semipermutable in G if HGp = GpH for any Sylow p-subgroup Gp 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.
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