Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Robert Kropholler

Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Group Theory 2018-02-07 v1

Authors: Robert Kropholler

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 $\lceil\frac{n}{3}\rceil$ .

Keywords

hyperbolic groups group theory abelian groups

Cite

@article{arxiv.1802.01658,
  title  = {Almost Hyperbolic Groups with Almost Finitely Presented Subgroups},
  author = {Robert Kropholler},
  journal= {arXiv preprint arXiv:1802.01658},
  year   = {2018}
}

Comments

22 pages, 5 figures

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