- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:59
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
7
2013
2
Highly transitive actions of $\operatorname{Out}(F_n)$
Shelly
Garion
Universität Münster, MÜNSTER, GERMANY
Yair
Glasner
Ben Gurion University of the Negev, BEER SHEVA, ISRAEL
Highly transitive action, outer automorphism group, free group
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 $n \ge 4$ the group $\operatorname{Out}(F_n) = \operatorname{Aut}(F_n) / \mathrm{Inn}(F_n)$ admits a faithful highly transitive action on a countable set.
Group theory and generalizations
General
357
376
10.4171/GGD/185
http://www.ems-ph.org/doi/10.4171/GGD/185