Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Abstract

We construct new examples of CAT(0) groups containing non finitely presented subgroups that are of type $F{P}_2$, these CAT(0) groups do not contain copies of ${\mathbb{Z}}^3$. We also give a construction of groups which are of type $F_n$ but not $F_{n+1}$ with no free abelian subgroups of rank greater than $\lceil \frac{n}{3}\rceil$.

22 pages, 5 figures

Cited by in corpus (2)

• Hyperbolic groups with almost finitely presented subgroups
• Irrational pencils and Betti numbers