Geodesic
Highly transitive actions of $\operatorname{Out}(F_n)$
Shelly Garion1 ; Yair Glasner2 orcid
1Universität Münster, Germany
2Ben Gurion University of the Negev, Beer Sheva, Israel
Groups, geometry, and dynamics, Tome 7 (2013) no. 2, pp. 357-376

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DOI

An action of a group on a set is called k-transitive if it is transitive on ordered k-tuples and highly transitive if it is k-transitive for every k. We show that for n≥4 the group Out(Fn​)=Aut(Fn​)/Inn(Fn​) admits a faithful highly transitive action on a countable set.
DOI : 10.4171/ggd/185
Classification : 20-XX, 00-XX
Mots-clés : Highly transitive action, outer automorphism group, free group

Shelly Garion  1   ; Yair Glasner  2

1 Universität Münster, Germany
2 Ben Gurion University of the Negev, Beer Sheva, Israel 
Shelly Garion; Yair Glasner. Highly transitive actions of $\operatorname{Out}(F_n)$. Groups, geometry, and dynamics, Tome 7 (2013) no. 2, pp. 357-376. doi: 10.4171/ggd/185
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     title = {Highly transitive actions of $\operatorname{Out}(F_n)$},
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     pages = {357--376},
     year = {2013},
     volume = {7},
     number = {2},
     doi = {10.4171/ggd/185},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/185/}
}
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