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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 692–702
DOI: https://doi.org/10.33048/smzh.2020.61.318 (Mi smj6013) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The root-class residuality of tree products with central amalgamated subgroups

E. V. Sokolov, E. A. Tumanova

Ivanovo State University
Full-text PDF (404 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2020.61.318
Abstract: Given a root class ${\Cal C}$ of groups and a tree product $P$ in which each amalgamated subgroup lies in the centers of the corresponding vertex groups, we point out certain sufficient conditions for the ${\Cal C}$-residuality of $P$. In particular, we show that the tree product of solvable groups of bounded derived length with central amalgamated subgroups is residually solvable.
Keywords: tree product, residual finiteness, residual $p$-finiteness, residual solvability, root-class residuality.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00187
The authors were partially supported by the Russian Foundation for Basic Research (Grant 18-31-00187).
Received: 06.11.2019
Revised: 26.02.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 545–551
DOI: https://doi.org/10.1134/S0037446620030180
Bibliographic databases:
Document Type: Article
UDC: 512.543
MSC: 20E26, 20E06
Language: Russian
Citation: E. V. Sokolov, E. A. Tumanova, “The root-class residuality of tree products with central amalgamated subgroups”, Sibirsk. Mat. Zh., 61:3 (2020), 692–702; Siberian Math. J., 61:3 (2020), 545–551
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
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