Groups elementary equivalent to finitely generated free metabelian

2023/09/15 by Olga Kharlampovich, Kharlampovich, Olga, Alexei Miasnikov +1
Mathematics · #20A15 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2309.08483

openalex publication_date 2023/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe groups elementarily equivalent to a free metabelian group with n generators. We also explore an exponentiation that naturally occurs in metabelian groups.

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