TY - JOUR
T1 - Groups elementarily equivalent to a finitely generated free metabelian group
AU - Kharlampovich, Olga
AU - Miasnikov, Alexei
N1 - Publisher Copyright:
© 2025 European Mathematical Society.
PY - 2025
Y1 - 2025
N2 - We describe groups elementarily equivalent to a free metabelian group with n generators. We also explore an exponentiation that naturally occurs in metabelian groups.
AB - We describe groups elementarily equivalent to a free metabelian group with n generators. We also explore an exponentiation that naturally occurs in metabelian groups.
KW - first-order equivalence
KW - metabelian group
UR - https://www.scopus.com/pages/publications/105012880725
UR - https://www.scopus.com/pages/publications/105012880725#tab=citedBy
U2 - 10.4171/GGD/894
DO - 10.4171/GGD/894
M3 - Article
AN - SCOPUS:105012880725
SN - 1661-7207
VL - 19
SP - 681
EP - 710
JO - Groups, Geometry, and Dynamics
JF - Groups, Geometry, and Dynamics
IS - 2
ER -