Supersolvability of finite factorizable groups with cyclic Sylow subgroups in the factors

被引：0

作者：

V. S. Monakhov

I. K. Chirik

机构：

[1] Gomel State University,

[2] Gomel Engineering Institute of the Ministry for Emergency Situations,undefined

来源：

Mathematical Notes | 2014年 / 96卷

关键词：

finite group; solvability; supersolvability; Sylow subgroup; cyclic subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let p be a prime. Under certain additional conditions, we establish the p-supersolvability of a finite p-solvable group G = AB with cyclic Sylow p-subgroups in A and B. In particular, we prove that a finite group G = AB is supersolvable provided that all Sylow subgroups in A and B are cyclic and either G is 2-closed or A and B are maximal subgroups.

引用

页码：983 / 991

页数：8

共 10 条

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