The influence of ℋ-subgroups on the structure of finite groups
The influence of ℋ-subgroups on the structure of finite groups
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DOI：
10.1515/jgt.2009.050
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Xiuyun Guo;Xianbiao Wei
中科院分区：
文献类型：
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作者：
Xiuyun Guo;Xianbiao Wei
一个子群H称为群G的ℋ-子群，如果H为G的∩NG(H)⩽H，则称H为群G的Sylow-∈子群.本文在给定正整数m的Sylow p-子群的每个Pm阶子群都属于ℋ(G)的假设下，研究了群G的结构，得到了有关群G的p-幂零和超可解的一些结果.
Abstract A subgroup H is said to be an ℋ-subgroup of a group G if Hg ∩ NG (H) ⩽ H for all g ∈ G. In this paper, we investigate the structure of a group G under the assumption that every subgroup of order pm of a Sylow p-subgroup of G belongs to ℋ(G) for a given positive integer m. Some results related to p-nilpotence and supersolvability of a group G are obtained.