Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
نویسندگان
چکیده
Abstract We show that a group is hyperbolic relative to strongly shortcut groups itself shortcut, thus obtaining new examples of groups. The proof relies on result independent interest: we every relatively acts properly and cocompactly graph in which the parabolic subgroups act convex subgraphs.
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2023
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004123000208