Highly Transitive Actions of Out(Fn)

Details Highly Transitive Actions of Out(Fn) Highly Transitive Actions of Out(Fn)

2010-08-03

arxiv.org/abs/1008.0563v2

Mathematics

Group Theory

14 pages, (minor corrections to match final published version)

Scientific paper

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>3 the group Out(Fn) = Aut(Fn)/Inn(Fn) admits a faithful highly
transitive action on a countable set.

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