Relative hyperbolization of one-ended hyperbolic-by-cyclic groupsReport as inadecuate




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1 JAD - Laboratoire Jean Alexandre Dieudonné 2 LATP - Laboratoire d-Analyse, Topologie, Probabilités

Abstract : We show that the semi-direct product of a one-ended torsion-free word-hyperbolic group G with Z is a hyperbolic group relative to certain canonical subgroups of G on which the automorphism coming from the action of Z on G acts periodically or with linear growth.

Keywords : mapping-torus relative hyperbolicity combination theorem surface homeomorphism





Author: François Gautero - Martin Lustig -

Source: https://hal.archives-ouvertes.fr/



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