On the products of ℙ-subnormal subgroups of finite groups

被引：0
作者：
A. F. Vasil’ev
V. N. Tyutyanov
T. I. Vasil’eva
机构：
[1] Francisk Skorina Gomel State University,
[2] Belarusian State University of Transport,undefined
来源：
Siberian Mathematical Journal | 2012年 / 53卷
关键词：
finite group; ℙ-subnormal subgroup; w-supersoluble group; product of subgroups;
D O I：
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学科分类号：
摘要：
A subgroup H of a finite group G is called ℙ-subnormal in G whenever H either coincides with G or is connected to G by a chain of subgroups of prime indices. If every Sylow subgroup of G is ℙ-subnormal in G then G is called a w-supersoluble group. We obtain some properties of ℙ-subnormal subgroups and the groups that are products of two ℙ-subnormal subgroups, in particular, of ℙ-subnormal w-supersoluble subgroups.
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页码：47 / 54
页数：7
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