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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 1, Pages 171–185
DOI: https://doi.org/10.17377/smzh.2016.57.113 (Mi smj2736) 		 
This article is cited in 17 scientific papers (total in 17 papers)

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

E. V. Sokolov, E. A. Tumanova

Ivanovo State University, Ivanovo, Russia
Full-text PDF (453 kB) Citations (17)
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DOI: https://doi.org/10.17377/smzh.2016.57.113
Abstract: Given a class $\mathscr K$ of groups, we prove that the free product of a $\mathscr K$-group $A$ and a residually $\mathscr K$-group $B$ with amalgamated subgroup which is a retract of $B$ is a residually $\mathscr K$-group. We also obtain a sufficient condition for the root-class residuality of a generalized free product of two residually $\mathscr K$-groups with amalgamated subgroup which is a retract of one of the factors.
Keywords: root class, residual $\pi$-finiteness, root-class residuality, generalized free product.
Received: 12.01.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 1, Pages 135–144
DOI: https://doi.org/10.1134/S0037446616010134
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: E. V. Sokolov, E. A. Tumanova, “Sufficient conditions for the root-class residuality of certain generalized free products”, Sibirsk. Mat. Zh., 57:1 (2016), 171–185; Siberian Math. J., 57:1 (2016), 135–144
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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