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2017 Growth and order of automorphisms of free groups and free Burnside groups
Rémi Coulon, Arnaud Hilion
Geom. Topol. 21(4): 1969-2014 (2017). DOI: 10.2140/gt.2017.21.1969

Abstract

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.

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Rémi Coulon. Arnaud Hilion. "Growth and order of automorphisms of free groups and free Burnside groups." Geom. Topol. 21 (4) 1969 - 2014, 2017. https://doi.org/10.2140/gt.2017.21.1969

Information

Received: 15 October 2013; Revised: 10 May 2016; Accepted: 6 September 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 06726515
MathSciNet: MR3654102
Digital Object Identifier: 10.2140/gt.2017.21.1969

Subjects:
Primary: 20E05, 20E36, 20F28, 20F50, 20F65
Secondary: 68R15

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.21 • No. 4 • 2017
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