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.
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页码：206 / 216
页数：11
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