Subgroup classification in Out(F_n)

Details Subgroup classification in Out(F_n) Subgroup classification in Out(F_n)

2009-08-09

arxiv.org/abs/0908.1255v1

Mathematics

Group Theory

83 pages

Scientific paper

For any subgroup H of Out(F_n), either H has a finite index subgroup that
fixes the conjugacy class of some proper, nontrivial free factor of F_n, or H
contains a fully irreducible element phi, meaning that no positive power of phi
fixes the conjugacy class of any proper, nontrivial free factor of F_n.

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