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Matematicheskie Zametki, 2017, Volume 102, Issue 4, Pages 597–612
DOI: https://doi.org/10.4213/mzm11465 (Mi mzm11465) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups

E. V. Sokolov, E. A. Tumanova

Ivanovo State University
Full-text PDF (560 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm11465
Abstract: Let $\mathcal{R}$ be a root class of groups which is closed with respect to passage to quotient groups and contains at least one nonidentity group. A criterion for the $\mathcal{R}$-residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.
Keywords: root class residuality, residual solvability, residual $p$-finiteness, HNN-extension.
Funding agency Grant number
Ivanovo State University 141
This work was supported by IvGU (agreement no. 141 as of 01.01.2016).
Received: 28.11.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 556–568
DOI: https://doi.org/10.1134/S0001434617090280
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: E. V. Sokolov, E. A. Tumanova, “Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups”, Mat. Zametki, 102:4 (2017), 597–612; Math. Notes, 102:4 (2017), 556–568
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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