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arXiv · 1309.3981

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

Rémi Coulon·Arnaud Hilion
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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. 2013-09-16. Growth and order of automorphisms of free groups and free Burnside groups. https://doi.org/10.2140/gt.2017.21.1969

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