This article is cited in 7 papers

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

D. N. Azarov

Ivanovo State University, Ivanovo, Russia

Abstract: Let $G$ be a free product of almost soluble groups $A$ and $B$ of finite rank with amalgamated normal subgroup $H$, where $H\ne A$ and $H\ne B$, 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 $B/H$.

Keywords: generalized free product, soluble group, residual finiteness, almost residually finite $p$-group.

UDC: 512.543

Received: 27.03.2014

 English version: Siberian Mathematical Journal, 2015, 56:2, 206–216

Bibliographic databases:

• 
• 
• 
• 
•