Year: 2026
Type: article
Abstract: -theory for a large class of suspensions of relatively hyperbolic groups, as well as for all suspensions of one-ended hyperbolic groups. We deduce two applications: FJC for the automorphism group of a one-ended group hyperbolic relative to virtually polycyclic subgroups;FJC is closed under extensions of FJC groups with kernel in a large class of relatively hyperbolic groups. Along the way we prove a number of results about JSJ decompositions of relatively hyperbolic groups which may be of independent interest.
Source: Mathematische Annalen
Authors: Naomi Andrew, Yassine Guerch, Sam Hughes
Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, University of Oxford, École Normale Supérieure de Lyon, Unité de Mathématiques Pures et Appliquées, Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Normandie, University of Bonn
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Awards: G434337789, G72191079, G7798200634
OpenAlex ID: W4389072438