Geometric equivalence of groups

Autor: B. V. Gusev, V. V. Bludov
Rok vydání: 2007
Předmět:
Zdroj: Proceedings of the Steklov Institute of Mathematics. 257:S61-S82
ISSN: 1531-8605
0081-5438
DOI: 10.1134/s0081543807050045
Popis: 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.
Databáze: OpenAIRE
Externí odkaz: