几乎SS-嵌入子群与有限群的p-幂零性Nearly SS-Quasinormal Subgroups and p-Nilpotency of Finite Groups
彭红;钟祥贵;谢青;
摘要(Abstract)：
设G是有限群,子群H称为在G中几乎SS-嵌入的,如果存在G的S-拟正规子群K使得HK是G的S-拟正规子群,且H∩K≤H_(seG),这里H_(seG)是由包含在H中G的所有S-拟正规嵌入子群生成的群。本文应用Sylow p-子群的n-极大子群的几乎SS-嵌入性质刻画有限群的p-幂零性,统一和推广了以往的一些结果。
关键词(KeyWords)： 有限群;几乎SS-嵌入子群;p-幂零群
基金项目(Foundation): 国家自然科学基金(11261007,11461007);; 广西自然科学基金(2014GXNSFAA118009,2016GXNSFAA380156);; 广西高校科学技术研究项目(ZD2014016)
作者(Authors): 彭红;钟祥贵;谢青;
DOI: 10.16088/j.issn.1001-6600.2017.02.007
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