Sufficient conditions for the root-class residuality of certain generalized free products

被引：15

作者：

Sokolov, E. V. ^{[1
]}

Tumanova, E. A. ^{[1
]}

机构：

[1] Ivanovo State Univ, Ivanovo 153377, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 01期

关键词：

root class; residual p-finiteness; root-class residuality; generalized free product; FINITE-GROUPS; SEPARABILITY; SUBGROUPS;

D O I：

10.1134/S0037446616010134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a class K of groups, we prove that the free product of a K -group A and a residually K -group B with amalgamated subgroup which is a retract of B is a residually K -group. We also obtain a sufficient condition for the root-class residuality of a generalized free product of two residually K -groups with amalgamated subgroup which is a retract of one of the factors.

引用

页码：135 / 144

页数：10

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