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arXiv · 1802.01658

Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Robert Kropholler
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Abstract

We construct new examples of CAT(0) groups containing non finitely presented subgroups that are of type $FP_2$, 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 $\lceil\frac{n}{3}\rceil$.

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Robert Kropholler. 2018-02-05. Almost Hyperbolic Groups with Almost Finitely Presented Subgroups. https://arxiv.org/abs/1802.01658

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