Geodesic
Groups elementarily equivalent to a finitely generated free metabelian group
Olga Kharlampovich1 orcid ; Alexei Miasnikov2 orcid
1CUNY Graduate Center and Hunter College, New York, USA
2Stevens Institute, Hoboken, USA
Groups, geometry, and dynamics, Tome 19 (2025) no. 2, pp. 681-710

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DOI

We describe groups elementarily equivalent to a free metabelian group with n generators. We also explore an exponentiation that naturally occurs in metabelian groups.
DOI : 10.4171/ggd/894
Classification : 20A15
Mots-clés : metabelian group, first-order equivalence

Olga Kharlampovich  1   ; Alexei Miasnikov  2

1 CUNY Graduate Center and Hunter College, New York, USA
2 Stevens Institute, Hoboken, USA 
Olga Kharlampovich; Alexei Miasnikov. Groups elementarily equivalent to a finitely generated free metabelian group. Groups, geometry, and dynamics, Tome 19 (2025) no. 2, pp. 681-710. doi: 10.4171/ggd/894
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     author = {Olga Kharlampovich and Alexei Miasnikov},
     title = {Groups elementarily equivalent to a finitely generated free metabelian group},
     journal = {Groups, geometry, and dynamics},
     pages = {681--710},
     year = {2025},
     volume = {19},
     number = {2},
     doi = {10.4171/ggd/894},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/894/}
}
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