FINITE TRIFACTORISED GROUPS AND π-DECOMPOSABILITY

被引：7

作者：

Kazarin, L. S. ^{[1
]}

Martinez-Pastor, A. ^{[2
]}

Perez-Ramos, M. D. ^{[3
]}

机构：

[1] Yaroslavl P Demidov State Univ, Dept Math, Sovetskaya Str 14, Yaroslavl 150003, Russia

[2] Univ Politecn Valencia, IUMPA, Camino Vera S-N, Valencia 46022, Spain

[3] Univ Valencia, Dept Matemat, C Doctor Moliner 50, E-46100 Burjassot, Valencia, Spain

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 97卷 / 02期

关键词：

finite groups; products of subgroups; pi-decomposable groups; pi-structure; PRODUCT;

D O I：

10.1017/S0004972717001034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive some structural properties of a trifactorised finite group G = AB = AC = BC, where A, B, and C are subgroups of G, provided that A = A(pi) x A(pi') and B = B-pi x B-pi' are pi-decomposable groups, for a set of primes pi.

引用

页码：218 / 228

页数：11

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