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

共 20 条

[11]

Monakhov V. S., 2006, INTRO THEORY FINITE

[12]

Shemetkov L. A., 1976, ALGEBR LOG+, V15, P425

[13]

Shemetkov LA., 1978, Formations of Finite Groups

[14]

Skiba A. N., 2000, Siberian Adv. Math., V10, P112

[15] F-projectors and F-covering subgroups of finite groups [J].

Vedernikov, V. A. ;

Sorokina, M. M. .

SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (06) :957-968

[16] On complements of coradicals of finite groups [J].

Vedernikov, V. A. ;

Sorokina, M. M. .

SBORNIK MATHEMATICS, 2016, 207 (06) :792-815

[17] Finite groups with Hall π-subgroups [J].

Vedernikov, V. A. .

SBORNIK MATHEMATICS, 2012, 203 (03) :326-350

[18]

Vedernikov V. A., 2016, P INT C ALG AN GEOM, P125

[19]

Vedernikov V. A., 2016, P INT 11 SCH C THEOR, P87

[20]

Vedernikov VA, 2002, MATH NOTES+, V71, P39, DOI 10.1023/A:1013922206539

← 1 2 →