@inproceedings{4eb0ef8ab21e4b35a6deb7b968235d1b,
title = "Geometric equivalence of π-torsion-free nilpotent groups",
abstract = "In this paper, we study the notion of geometric equivalence of groups introduced by B. Plotkin [P1, P2]. Sufficient and necessary conditions are presented for a π-torsion-free nilpotent group to be geometrically equivalent to its π-completion. We prove that a relatively free nilpotent π-torsion-free group and its π-completion define the same quasi-variety. Examples of π-torsion-free nilpotent groups that are geometrically equivalent to their π-completions are given.",
keywords = "Geometric equivalence, Nilpotent groups, Q-powered groups",
author = "R. Lipyanski",
note = "Publisher Copyright: {\textcopyright} 2019 R. Lipyanski.; Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, 2016 ; Conference date: 20-03-2016 Through 24-03-2016",
year = "2019",
month = jan,
day = "1",
doi = "10.1090/conm/726/14609",
language = "English",
isbn = "9781470437138",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "123--133",
editor = "Eugene Plotkin",
booktitle = "Groups, Algebras and Identities",
address = "United States",
}