Unsolvability of the isomorphism problem for [free abelian]-by-free groups

Abstract

The isomorphism problem for [free abelian]-by-free groups is unsolvable.

added reference to a paper by Bruno Zimmermann containing a similar result for (free abelian)-by-surface groups

References in corpus (2)

• The mapping-torus of a free group automorphism is hyperbolic relative to the canonical subgroups of polynomial growth
• Orbit decidability and the conjugacy problem for some extensions of groups

Cited by in corpus (2)

• Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups
• Cayley automatic groups are not Cayley biautomatic