Finite Groups with G-Permutable Normalizers of Sylow Subgroups

被引：0

作者：

Kamornikov, S. F. ^{[1
]}

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

Shemetkova, O. L. ^{[3
]}

机构：

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

[2] MITSO Int Univ, Gomel, BELARUS

[3] Plekhanov Russian Univ Econ, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2024年 / 65卷 / 04期

关键词：

finite subgroup; Sylow subgroup; normalizer of a Sylow subgroup; G-permutable subgroup; hereditary G-permutable subgroup; P-subnormal subgroup;

D O I：

10.1134/S0037446624040049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be subgroups in a finite group G. Then A is (hereditarily) G-permutable with B if AB(x )= B(x)A for some x is an element of G(for some x is an element of <A, B>). A subgroup A in G is (hereditarily) G-permutable in G if A is (hereditarily) G-permutable with all subgroups in G. The article deals with the structure of G such that the normalizers of Sylow subgroups are (hereditarily) G-permutable.

引用

页码：771 / 777

页数：7

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