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Growth and order of
automorphisms of free groups and free Burnside groups
Rémi Coulon and Arnaud Hilion |
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Geometry & Topology 21 (2017) 1969–2014
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Abstract |
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We prove that an outer automorphism of the free group is exponentially growing if and only if it induces an outer automorphism of infinite order of free Burnside groups with sufficiently large odd exponent. |
Keywords
automorphism groups, free groups, Burnside groups, growth
of automorphisms, train-track theory
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Mathematical Subject Classification 2010
Primary: 20E05, 20E36, 20F28, 20F50, 20F65
Secondary: 68R15
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References |
Publication
Received: 15 October 2013
Revised: 10 May 2016
Accepted: 6 September 2016
Published: 19 May 2017
Proposed: Martin Bridson
Seconded: Walter Neumann, Jean-Pierre Otal
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Authors |
| Rémi Coulon | |
| Institut de Recherche Mathématique
de Rennes - UMR 6625 CNRS - Université de Rennes 1 Campus de Beaulieu, bâtiments 22 et 23 263 avenue du Général Leclerc, CS 74205 35042 Rennes Cedex France |
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| http://rcoulon.perso.math.cnrs.fr | |
| Arnaud Hilion | |
| I2M UMR 7373 - Centre de
Mathématiques et Informatique Aix Marseille Université CNRS, Centrale Marseille, I2M, Marseille, France Technopôle Château-Gombert 39, rue F Joliot Curie 13453 Marseille 13 France |
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| http://junon.u-3mrs.fr/hilion/ | |
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