HIGHLY TRANSITIVE ACTIONS OF Out(Fn)

نویسندگان

  • SHELLY GARION
  • YAIR GLASNER
چکیده

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.

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تاریخ انتشار 2011