Finite Groups with Some Maximal Subgroups of Sylow Subgroups Q-Supplemented

Finite Groups with Some Maximal Subgroups of Sylow Subgroups Q-Supplemented
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DOI:
10.1080/00927870601041367
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发表时间:
2006-12
影响因子:
0.7
通讯作者:
L. Miao
L. Miao
中科院分区:
数学3区
文献类型:
--
作者:
L. Miao

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子群H称为有限群G中的Q-可补子群,如果存在G的子群K使得G = HK且H <$K包含在HQG中,其中HQG是G的包含在H中的极大拟正规子群.本文研究了有限群中某些准素子群的Q-补对群的性质的影响。推广了最近的一些结果。
A subgroup H is called Q-supplemented in a finite group G, if there exists a subgroup K of G such that G = HK and H ∩ K is contained in H QG , where H QG is the maximal quasinormal subgroup of G contained in H. In this article, we investigate the influence of Q-supplementation of some primary subgroups in finite groups. Some recent results are generalized.