On s-Semipermutable Maximal and Minimal Subgroups of Sylow p-Subgroups of Finite Groups
On s-Semipermutable Maximal and Minimal Subgroups of Sylow p-Subgroups of Finite Groups
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DOI：
10.1080/00927870500346081
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发表时间：
2006-01
影响因子：
0.7
通讯作者：
Lifang Wang;Yanming Wang
中科院分区：
文献类型：
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作者：
Lifang Wang;Yanming Wang
摘要 如果群 G 的子群 H 可以与 G 的每个子群 K 置换，且 (|H|,|K|) = 1，则称其为半置换。如果 H 可以与 G 的每个 Sylow p 子群置换，且 (p,|H|) = 1，则称 H 为 s-半置换。在本文中，我们研究了一个群的 p 幂零性，该群的 Sylow p 子群的每个最大子群对于某些素数 p 是 s-半置换的。我们概括了Guo 和Shum (2003) 中最近的一些定理。由 M. Dixon 传达。
ABSTRACT A subgroup H of a group G is called semipermutable if it is permutable with every subgroup K of G with (|H|,|K|) = 1. H is said to be s-semipermutable if it is permutable with every Sylow p-subgroup of G with (p,|H|) = 1. In this article, we investigate the p-nilpotency of a group for which every maximal subgroup of its Sylow p-subgroups is s-semipermutable for some prime p. We generalize some recent theorems in Guo and Shum (2003). Communicated by M. Dixon.