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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 1, Pages 57–78 (Mi timm71)  
This article is cited in 7 scientific papers (total in 8 papers)

Geometric equivalence of groups

V. V. Bludov, B. V. Gusev
Full-text PDF (403 kB) Citations (8)
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Abstract: Based on the notion of geometric equivalence of groups, new classes of groups, namely, geometric varieties of groups, are defined. Some properties of such classes, including their relation to quasi-varieties and prevarieties of groups, are studied. Examples of torsion free nilpotent groups that are geometrically nonequivalent to their minimal completions, as well as an example of centrally metabelian groups that are geometrically nonequivalent but generate equal quasi-varieties, are given.
Received: 19.10.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 257, Issue 1, Pages S61–S82
DOI: https://doi.org/10.1134/S0081543807050045
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. V. Bludov, B. V. Gusev, “Geometric equivalence of groups”, Группы и графы, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 1, 2007, 57–78; Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S61–S82
Citation in format AMSBIB
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\by V.~V.~Bludov, B.~V.~Gusev
\paper Geometric equivalence of groups
\inbook Группы и графы
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 1
\pages 57--78
\mathnet{http://mi.mathnet.ru/timm71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338240}
\elib{https://elibrary.ru/item.asp?id=12040752}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 257
\issue , suppl. 1
\pages S61--S82
\crossref{https://doi.org/10.1134/S0081543807050045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547697114}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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