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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 64–71 (Mi ivm8950)  
This article is cited in 1 scientific paper (total in 1 paper)

On the virtually residually p-finiteness of free product of polycyclic groups with normal amalgamated subgroups

A. V. Rozov

Chair of Applied Mathematics and Computer Sciences, Ivanovo State University, 37/7 Ermaka str., Ivanovo, 153025 Russia
Full-text PDF (186 kB) Citations (1)
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Abstract: Let G be a free product of polycyclic groups A and B with normal amalgamated subgroups H and K. We prove that, for any prime p, the group G is a virtually residually finite p-group.
Keywords: generalized free product, polycyclic group, virtually residually a finite p-group.
Received: 15.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 54–59
DOI: https://doi.org/10.3103/S1066369X14110073
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: A. V. Rozov, “On the virtually residually p-finiteness of free product of polycyclic groups with normal amalgamated subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 64–71; Russian Math. (Iz. VUZ), 58:11 (2014), 54–59
Citation in format AMSBIB
\Bibitem{Roz14}
\by A.~V.~Rozov
\paper On the virtually residually $p$-finiteness of free product of polycyclic groups with normal amalgamated subgroups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 64--71
\mathnet{http://mi.mathnet.ru/ivm8950}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 54--59
\crossref{https://doi.org/10.3103/S1066369X14110073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910119358}
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  • https://www.mathnet.ru/eng/ivm8950
  • https://www.mathnet.ru/eng/ivm/y2014/i11/p64
    • This publication is cited in the following 1 articles:
    1. D. I. Moldavanskii, “Kombinatornaya teoriya grupp v Ivanovskom gosudarstvennom universitete”, Chebyshevskii sb., 15:4 (2014), 32–54  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :41
    References:49
    First page:9
     
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