arXiv:1802.01658 Abstract | arXiv Analytics

arXiv:1802.01658 [math.GR]Abstract References Reviews Resources

Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Published 2018-02-05Version 1

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

Comments: 22 pages, 5 figures

Categories: math.GR

Subjects: 20F65, 20F67

Keywords: hyperbolic groups, free abelian subgroups, groups containing non, rank greater, contain copies

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