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Examples of groups whose automorphisms have exotic growth

Rémi Coulon

Algebraic & Geometric Topology 22 (2022) 1497–1510
Abstract

In this note we produce examples of outer automorphisms of finitely generated groups which have exotic behaviors in terms of growth of conjugacy classes.

Keywords
growth, automorphisms of groups, geometric group theory, hyperbolic groups, Rips construction
Mathematical Subject Classification 2010
Primary: 20E36, 20F06, 20F28, 20F65, 20F67
References
Publication
Received: 13 October 2019
Revised: 26 February 2021
Accepted: 5 April 2021
Published: 10 October 2022
Authors
Rémi Coulon
Univ Rennes, CNRS
IRMAR - UMR 6625
Rennes
France
http://rcoulon.perso.math.cnrs.fr