On c-normal maximal and minimal subgroups of Sylow p-subgroups of finite groups
On c-normal maximal and minimal subgroups of Sylow p-subgroups of finite groups
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DOI：
10.1007/s00013-003-0810-4
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发表时间：
2003-06
影响因子：
0.6
通讯作者：
Xiuyun Guo;K. Shum
中科院分区：
文献类型：
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作者：
Xiuyun Guo;K. Shum
有限群 G 的子群 H 称为 G 中的 c-正规子群，如果存在 G 的正规子群 N 使得 G = HN and 。在本文中，我们研究了对于某些素数p，其Sylowp子群的每个最大子群都是c正规的群以及其Sylowp子群的一些最小子群是c正规的群的类别。获得了一些有趣的结果，因此，许多与顶幂零群和p-超可解群相关的已知结果被推广。
A subgroupHof a finite groupGis calledc-normal inGif there exists a normal subgroupNofGsuch thatG = HNand. In this paper, we investigate the class of groups of which every maximal subgroup of its Sylowp-subgroup isc-normal and the class of groups of which some minimal subgroups of its Sylowp-subgroup isc-normal for some prime numberp. Some interesting results are obtained and consequently, many known results related top-nilpotent groups andp-supersolvable groups are generalized.