Our goal is to find dynamic invariants that completely determine elements of the outer automorphism group Out(Fn) of the free group Fn of rank n. To avoid finite order phenomena, we do this for forward rotationless elements. This is not a serious restriction. For example, there is Kn>0 depending only on n such that, for all φ∈Out(Fn), φKn is forward rotationless. An important part of our analysis is to show that rotationless elements are represented by particularly nice relative train track maps.
Classification :
20-XX, 00-XX
Mots-clés :
Outer automorphisms, free group
Affiliations des auteurs :
Mark Feighn
1
;
Michael Handel
2
1
Rutgers University, Newark, USA
2
Lehman College, CUNY, Bronx, USA
Mark Feighn; Michael Handel. The Recognition Theorem for $\mathrm{Out}(F_n)$. Groups, geometry, and dynamics, Tome 5 (2011) no. 1, pp. 39-106. doi: 10.4171/ggd/116
@article{10_4171_ggd_116,
author = {Mark Feighn and Michael Handel},
title = {The {Recognition} {Theorem} for $\mathrm{Out}(F_n)$},
journal = {Groups, geometry, and dynamics},
pages = {39--106},
year = {2011},
volume = {5},
number = {1},
doi = {10.4171/ggd/116},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/116/}
}
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AU - Michael Handel
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JO - Groups, geometry, and dynamics
PY - 2011
SP - 39
EP - 106
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/116/
%R 10.4171/ggd/116
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