Title

Discriminating Groups

Authors

Benjamin Fine, Fairfield UniversityFollow
A. G. Myasnikov
Anthony M. Gaglione
Dennis Spellman

Document Type

Article

Article Version

Publisher's PDF

Publication Date

2001

Abstract

A group G is termed discriminating if every group separated by G is discriminated by G. In this paper we answer several questions concerning discrimination which arose from [2]. We prove that a finitely generated equationally Noetherian group G is discriminating if and only if the quasivariety generated by G is the minimal universal class containing G. Among other results, we show that the non-abelian free nilpotent groups are non-discriminating. Finally we list some open problems concerning discriminating groups.

Comments

Original published version can be found at DOI: 10.1515/jgth.2001.034

Publication Title

Journal of Group Theory

Repository Citation

Fine, Benjamin; Myasnikov, A. G.; Gaglione, Anthony M.; and Spellman, Dennis, "Discriminating Groups" (2001). Mathematics Faculty Publications. 8.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/8

Published Citation

B. Fine, A. G. Myasnikov, A. M. Gaglione, and D. Spellman. Discriminating Groups, Journal of Group Theory. 4(4), 463-474.

DOI

10.1515/jgth.2001.034

Peer Reviewed