Document Type
Article
Article Version
Publisher's PDF
Publication Date
2007
Abstract
Here we continue the study of discriminating groups as introduced by Baumslag, Myasnikov and Remeslennikov in [7]. First we give examples of finitely generated groups which are discriminating but not trivially discriminating, in the sense that they do not embed their direct squares, and then we show how to generalize these examples. In the opposite direction we show that if F is a non-abelian free group and R is a normal subgroup of F such that F/R is torsion-free, then F/R' is non-discriminating.
Publication Title
Journal of Group Theory
Repository Citation
Baumslag, Gilbert; Fine, Benjamin; Gaglione, Anthony M.; and Spellman, Dennis, "Reflections on Discriminating Groups" (2007). Mathematics Faculty Publications. 5.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/5
Published Citation
G. Baumslag, B. Fine, A. M. Gaglione, and D. Spellman. Reflections on Discriminating Groups, Journal of Group Theory. 10(1), 87-99.
DOI
10.1515/JGT.2007.008
Peer Reviewed
Comments
Original published version can be found at DOI: 10.1515/JGT.2007.008