FINITE GROUPS WITH HEREDITARILY G-PERMUTABLE SCHMIDT SUBGROUPS

被引：2

作者：

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

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

Perez-calabuig, V. ^{[3
]}

Tyutyanov, V. N. ^{[4
]}

机构：

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

[2] Francisk Skorina State Gomel Univ, Gomel, BELARUS

[3] Univ Valencia, Dept Matemat, Dr Moliner 50, Valencia 46100, Spain

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 03期

关键词：

finite group; Schmidt subgroup; hereditarily G-permutable subgroup;

D O I：

10.1017/S0004972723000771

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup A of a group G is said to be hereditarily G-permutable with a subgroup B of G, if AB(x) = B(x)A for some element x is an element of < A,B >. A subgroup A of a group G is said to be hereditarily G-permutable in G if A is hereditarily G-permutable with every subgroup of G. In this paper, we investigate the structure of a finite group G with all its Schmidt subgroups hereditarily G-permutable.

引用

页码：522 / 528

页数：7

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