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