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
收藏
页码：771 / 777
页数：7
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