c*-Quasinormally embedded subgroups of finite groups
c*-Quasinormally embedded subgroups of finite groups
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DOI：
10.1007/s11464-012-0212-7
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发表时间：
2012-07
影响因子：
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通讯作者：
Changwen Li;Jianhong Huang;B. Hu
中科院分区：
文献类型：
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作者：
Changwen Li;Jianhong Huang;B. Hu
设G是一个有限群，His是G的一个子群.他说，对于每个素数，|H|，His的Sylowp-子群也是G的某些-拟正规子群的Sylowp-子群;如果存在G的子群T使得G = HT且H ∈ Tiss-拟正规嵌入G，则称His为dc *-拟正规嵌入G。研究了c *-拟正规嵌入子群对有限群结构的影响。推广了最近的一些结果。
Suppose thatGis a finite group andHis a subgroup ofG. His said to bes-quasinormally embedded inGif for each primepdividing |H|, a Sylowp-subgroup ofHis also a Sylowp-subgroup of somes-quasinormal subgroup ofG;His calledc*-quasinormally embedded inGif there is a subgroupTofGsuch thatG=HTandH∩Tiss-quasinormally embedded inG. We investigate the influence ofc*-quasinormally embedded subgroups on the structure of finite groups. Some recent results are generalized.