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arXiv:math/0306380 [math.GR]AbstractReferencesReviewsResources

A description of auto-fixed subgroups in a free group

A. Martino, E. Ventura

Published 2003-06-26Version 1

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.

Comments: 41 pages
Categories: math.GR, math.GT
Subjects: 20E05, 20E36
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