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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 1, Pages 57–78
(Mi timm71)
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This article is cited in 7 scientific papers (total in 8 papers)
Geometric equivalence of groups
V. V. Bludov, B. V. Gusev
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
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
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https://www.mathnet.ru/eng/timm71 https://www.mathnet.ru/eng/timm/v13/i1/p57
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Abstract page: | 377 | Full-text PDF : | 143 | References: | 70 |
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