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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 1, Pages 81–98 (Mi fpm1199)  
This article is cited in 3 scientific papers (total in 3 papers)

On finitely generated soluble non-Hopfian groups

V. H. Mikaelian
Full-text PDF (208 kB) Citations (3)
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Abstract: There is a continuum of 3-generator soluble non-Hopfian groups that generate pairwise distinct varieties of groups. Each countable (soluble) group is subnormally embeddable into a 3-generator (soluble) non-Hopfian group. As an illustration to a problem of Neumann, we find a continuum of nonmetanilpotent varieties that contain finitely generated non-Hopfian groups and contain noncountably many pairwise nonisomorphic finitely generated groups.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 6, Pages 743–755
DOI: https://doi.org/10.1007/s10958-010-9890-4
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. H. Mikaelian, “On finitely generated soluble non-Hopfian groups”, Fundam. Prikl. Mat., 15:1 (2009), 81–98; J. Math. Sci., 166:6 (2010), 743–755
Citation in format AMSBIB
\Bibitem{Mik09}
\by V.~H.~Mikaelian
\paper On finitely generated soluble non-Hopfian groups
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 1
\pages 81--98
\mathnet{http://mi.mathnet.ru/fpm1199}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744948}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 166
\issue 6
\pages 743--755
\crossref{https://doi.org/10.1007/s10958-010-9890-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952291930}
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  • https://www.mathnet.ru/eng/fpm/v15/i1/p81
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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