Constructing groups of type $F{P}_2$ over fields but not over the integers

Abstract

We construct examples of groups that are $F{P}_2(\mathbb{Q})$ and $F{P}_2(\mathbb{Z}/p\mathbb{Z})$ for all primes $p$ but not of type $F{P}_2(\mathbb{Z})$.

arXiv comment13 pages

References in corpus (2)

• Uncountably many groups of type $FP$
• Hyperbolic groups with almost finitely presented subgroups