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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 27–44 (Mi ivm9041)  
This article is cited in 19 scientific papers (total in 19 papers)

On the root-class residuality of generalized free products with a normal amalgamation

E. A. Tumanovaab

a Chair of the Higher Mathematics and Information Science, Ivanovo Fire and Rescue Academy, 33 Stroitelei Ave., Ivanovo, 153040 Russia
b Chair of Algebra and Mathematical Logic, Ivanovo State University, 39 Ermaka str., Ivanovo, 153025 Russia
Full-text PDF (265 kB) Citations (19)
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Abstract: We obtain both necessary and sufficient conditions for the free product of two groups with normal amalgamated subgroups to be a residually $\mathcal C$-group, where $\mathcal C$ is a root class of groups, which must be homomorphically closed in most cases.
Keywords: generalized free product, residual property, root class of groups.
Received: 23.02.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 10, Pages 23–37
DOI: https://doi.org/10.3103/S1066369X15100035
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: E. A. Tumanova, “On the root-class residuality of generalized free products with a normal amalgamation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 27–44; Russian Math. (Iz. VUZ), 59:10 (2015), 23–37
Citation in format AMSBIB
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\by E.~A.~Tumanova
\paper On the root-class residuality of generalized free products with a~normal amalgamation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 10
\pages 27--44
\mathnet{http://mi.mathnet.ru/ivm9041}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 10
\pages 23--37
\crossref{https://doi.org/10.3103/S1066369X15100035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941926819}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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