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Algebra Logika, 2010, Volume 49, Number 3, Pages 331–345 (Mi al442)  

This article is cited in 9 scientific papers (total in 9 papers)

Subgroups of finite index in Baumslag–Solitar groups

F. A. Dudkin

Novosibirsk State University, Novosibirsk, Russia

Abstract: A complete description is given for all subgroups of index $n$ in Baumslag–Solitar groups $BS(p,q)$.

Keywords: two-generator one-relator non-Hopfian group, Baumslag–Solitar group.

Full text: PDF file (204 kB)
References: PDF file   HTML file

English version:
Algebra and Logic, 2010, 49:3, 221–232

Bibliographic databases:

UDC: 512.543
Received: 05.06.2009

Citation: F. A. Dudkin, “Subgroups of finite index in Baumslag–Solitar groups”, Algebra Logika, 49:3 (2010), 331–345; Algebra and Logic, 49:3 (2010), 221–232

Citation in format AMSBIB
\Bibitem{Dud10}
\by F.~A.~Dudkin
\paper Subgroups of finite index in Baumslag--Solitar groups
\jour Algebra Logika
\yr 2010
\vol 49
\issue 3
\pages 331--345
\mathnet{http://mi.mathnet.ru/al442}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2766392}
\zmath{https://zbmath.org/?q=an:1215.20026}
\transl
\jour Algebra and Logic
\yr 2010
\vol 49
\issue 3
\pages 221--232
\crossref{https://doi.org/10.1007/s10469-010-9091-8}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955655343}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. F. A. Dudkin, “On the abstract commensurator of Baumslag–Solitar groups”, Algebra and Logic, 50:2 (2011), 187–188  mathnet  crossref  zmath  isi
    2. Dudkin F.A., “Gruppy Baumslaga-Solitera i ikh podgruppy”, Matematicheskii forum (itogi nauki. yug Rossii), 6 (2012), 25–31  elib
    3. Bogopolski O., “Abstract Commensurators of Solvable Baumslag-Solitar Groups”, Commun. Algebr., 40:7 (2012), 2494–2502  crossref  mathscinet  zmath  isi  elib  scopus
    4. F. A. Dudkin, “The abstract commensurator of Baumslag–Solitar groups”, Algebra and Logic, 52:1 (2013), 46–60  mathnet  crossref  mathscinet  zmath  isi
    5. F. A. Dudkin, “Irreducible representations of subgroups of finite index in Baumslag–Solitar groups”, Siberian Math. J., 54:6 (2013), 1013–1017  mathnet  crossref  mathscinet  isi
    6. F. A. Dudkin, “Embedding of Baumslag–Solitar groups into the generalized Baumslag–Solitar groups”, Siberian Math. J., 55:1 (2014), 72–77  mathnet  crossref  mathscinet  isi
    7. Dudkin F.A., “on the Embedding Problem For Generalized Baumslag-Solitar Groups”, J. Group Theory, 18:4 (2015), 655–684  crossref  mathscinet  zmath  isi  elib  scopus
    8. Levitt G., “Generalized Baumslag-Solitar Groups: Rank and Finite Index Subgroups”, Ann. Inst. Fourier, 65:2 (2015), 725–762  crossref  mathscinet  zmath  isi  elib  scopus
    9. V. V. Benyash-Krivets, I. O. Govorushko, “Mnogoobraziya predstavlenii podgrupp konechnogo indeksa grupp Baumslaga–Solitera”, Tr. In-ta matem., 23:2 (2015), 24–28  mathnet
  • Алгебра и логика Algebra and Logic
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