Discriminating GroupsJournal of Group Theory
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AbstractA 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 . 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.
Published CitationB. Fine, A. G. Myasnikov, A. M. Gaglione, and D. Spellman. Discriminating Groups, Journal of Group Theory. 4(4), 463-474.
Citation InformationBenjamin Fine, A. G. Myasnikov, Anthony M. Gaglione and Dennis Spellman. "Discriminating Groups" Journal of Group Theory Vol. 4 Iss. 4 (2001)
Available at: http://works.bepress.com/benjamin_fine/4/