A description of auto-fixed subgroups in a free group
A. Martino, E. Ventura
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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