F-projectors and F-covering subgroups of finite groups

被引：2
作者：
Vedernikov, V. A. [1 ]
Sorokina, M. M. [2 ]
机构：
[1] Moscow City Teachers Training Univ, Moscow, Russia
[2] Bryansk State Univ, Bryansk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 06期
关键词：
finite group; omega-local formation; F-omega-projector; F-omega-covering subgroup;
D O I：
10.1134/S0037446616060033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a nonempty set omega of primes and a nonempty class F of groups, we define the F (omega) - projector and F (omega) -covering subgroup of a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, and embedding). We extend the results of GaschA<spacing diaeresis>utz, Schunck, Erickson, and others.
引用
收藏
页码：957 / 968
页数：12
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