Finite Factorised Groups with Partially Solvable P-Subnormal Subgroups

被引：0
|
作者：
Monakhov, V. [1 ]
Kniahina, V. [2 ]
机构：
[1] Gomel F Scorina State Univ, Ul Sovetskaya 104, Gomel 246019, BELARUS
[2] Gomel Engn Inst MES Belarus, Gomel 246035, BELARUS
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2015年 / 36卷 / 04期
关键词：
Finite groups; P-subnormal subgroups; product of groups;
D O I：
10.1134/S1995080215040101
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 called P-subnormal in G whenever either A - G or there exists a chain of subgroups A = A(0) subset of A(1) subset of . . . subset of A(n) = G such that |A(i) : A(i-1)| is a prime number for all i. We study a finite group G = AB on assuming that A and B are P-subnormal subgroups with fixed properties. In particular, we show that G is r-solvable if A and B are r-solvable.
引用
收藏
页码：441 / 445
页数：5
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