Growth and order of automorphisms of free groups and free Burnside groups

Coulon, Rémi; Hilion, Arnaud

doi:10.2140/gt.2017.21.1969

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Growth and order of automorphisms of free groups and free Burnside groups

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Coulon, Rémi
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/gt.2017.21.1969
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arXiv:1309.3981.pdf
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Coulon, R., & Hilion, A. (2017). Growth and order of automorphisms of free groups and free Burnside groups. Geometry & Topology, 21(4), 1969-2014. doi:10.2140/gt.2017.21.1969.

Cite as: https://hdl.handle.net/21.11116/0000-0004-8EA7-0

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.