THE Fω-NORMALIZERS OF FINITE GROUPS

被引：0

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 | 2017年 / 58卷 / 01期

关键词：

finite group; omega-local formation; F-omega-critical subgroup; F-omega-normalizer;

D O I：

10.1134/S0037446617010074

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 formation F of finite groups, we define the F (omega) -normalizer in a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, embedding, and so on) in the case that F is an omega-local formation. We so develop the results of Carter, Hawkes, and Shemetkov on the F-normalizers in groups.

引用

页码：49 / 62

页数：14

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