On a problem of L.A. Shemetkov on superradical formations of finite groups

被引：5

作者：

Ballester-Bolinches, A. ^{[1
]}

Kamornikov, S. F. ^{[2
]}

Tyutyanov, V. N. ^{[2
]}

机构：

[1] Univ Valencia, Valencia, Spain

[2] Int Univ MITSO, Gomel Branch, Gomel, BELARUS

来源：

JOURNAL OF ALGEBRA | 2014年 / 403卷

关键词：

Finite group; Saturated formation; Critical group;

D O I：

10.1016/j.jalgebra.2014.01.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Subgroup-closed saturated formations a which are closed under taking products of a-subnormal a-subgroups are studied in the paper. Our results can be regarded as further developments in the hunt for a solution of a problem proposed by L.A. Shemetkov in 1999 in the Kourovka Notebook. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：69 / 76

页数：8

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