Groups elementary equivalent to finitely generated free metabelian
Olga Kharlampovich, Alexei Miasnikov
TL;DR
This paper characterizes groups that are elementarily equivalent to finitely generated free metabelian groups and investigates an associated natural exponentiation in these groups.
Contribution
It provides a description of groups elementarily equivalent to free metabelian groups and explores a natural exponentiation within this class.
Findings
Characterization of elementary equivalence to free metabelian groups
Analysis of natural exponentiation in metabelian groups
Insights into the structure of finitely generated free metabelian groups
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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Taxonomy
TopicsGeometric and Algebraic Topology · Rings, Modules, and Algebras · Finite Group Theory Research