Groups, Geometry, and Dynamics


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Volume 2, Issue 2, 2008, pp. 281–307
DOI: 10.4171/GGD/41

Published online: 2008-06-30

On the complexity of the quasi-isometry and virtual isomorphism problems for finitely generated groups

Simon Thomas[1]

(1) Rutgers University, Piscataway, United States

We study the Borel complexity of the quasi-isometry and virtual isomorphism problems for the class of finitely generated groups.

Keywords: Borel equivalence relation, quasi-isometry, virtual isomorphism

Thomas Simon: On the complexity of the quasi-isometry and virtual isomorphism problems for finitely generated groups. Groups Geom. Dyn. 2 (2008), 281-307. doi: 10.4171/GGD/41