Axiomatisability of the Class of Monolithic Groups in a Variety of\n Nilpotent Groups

2019/11/25 by Joshua Grice, Grice, Joshua
Computer Science · Mathematics · #08B10 #20D15 #20E10 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Logic (math.LO) #Rings, Modules, and Algebras #primary 20A05 #secondary 20F18 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1911.11245

openalex publication_date 2019/11/25 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

The class of all subdirectly irreducible groups belonging to a variety\ngenerated by a finite nilpotent group can be axiomatised by a finite set of\nelementary sentences.\n

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