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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 249–264 (Mi smj2636)  

This article is cited in 6 scientific papers (total in 6 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
Full-text PDF (367 kB) Citations (6)
References:
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.
Received: 27.03.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 206–216
DOI: https://doi.org/10.1134/S0037446615020020
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: D. N. Azarov, “Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups”, Sibirsk. Mat. Zh., 56:2 (2015), 249–264; Siberian Math. J., 56:2 (2015), 206–216
Citation in format AMSBIB
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:279
    Full-text PDF :67
    References:58
    First page:11
     
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