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A description of auto-fixed subgroups in a free group

A. Martino·E. Ventura
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Abstract

Let $F$ be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of $F$ (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of $F$ which occur as the fixed subgroup of some automorphism is given.

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A. Martino, E. Ventura. 2003-06-26. A description of auto-fixed subgroups in a free group. https://arxiv.org/abs/math/0306380

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