Geodesic
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)
Robert Kropholler1
1University of Münster, Germany
Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 153-178

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DOI

In this paper, we create many examples of hyperbolic groups with subgroups satisfying interesting finiteness properties.We give the first examples of subgroups of hyperbolic groups which are of type FP2​ but not finitely presented. We give uncountably many groups of type FP2​ with similar properties to those subgroups of hyperbolic groups. Along the way we create more subgroups of hyperbolic groups which are finitely presented but not of type FP3​.
DOI : 10.4171/ggd/644
Classification : 20-XX, 57-XX
Mots-clés : Hyperbolic groups, CAT.0/ cube complexes, finiteness properties

Robert Kropholler  1

1 University of Münster, Germany 
Robert Kropholler. Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo). Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 153-178. doi: 10.4171/ggd/644
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     journal = {Groups, geometry, and dynamics},
     pages = {153--178},
     year = {2022},
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     doi = {10.4171/ggd/644},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/644/}
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