A description of auto-fixed subgroups in a free group

Details A description of auto-fixed subgroups in a free group A description of auto-fixed subgroups in a free group

2003-06-26

arxiv.org/abs/math/0306380v1

Mathematics

Group Theory

41 pages

Scientific paper

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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