Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups

被引：4

作者：

Azarov, D. N. ^{[1
]}

机构：

[1] Ivanovo State Univ, Ivanovo 153377, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2015年 / 56卷 / 02期

关键词：

generalized free product; soluble group; residual finiteness; almost residually finite p-group; RESIDUAL FINITENESS; RANK GROUPS;

D O I：

10.1134/S0037446615020020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a free product of almost soluble groups A and B of finite rank with amalgamated normal subgroup H, where H not equal A and H not equal B, and let pi be a finite set of primes. We prove that G is an almost residually finite pi-group if and only if so are A, B, A/H, and B/H.

引用

页码：206 / 216

页数：11

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