Geodesic
A note on subfactor projections
Taylor, Samuel J1
1Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA
Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 805-821
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We extend some results of Bestvina and Feighn [arXiv:1107.3308 (2011)] on subfactor projections to show that the projection of a free factor B to the free factor complex of the free factor A is well defined with uniformly bound diameter, unless either A is contained in B or A and B are vertex stabilizers of a single splitting of Fn, ie, they are disjoint. These projections are shown to satisfy properties analogous to subsurface projections, and we give as an application a construction of fully irreducible outer automorphisms using the bounded geodesic image theorem.

DOI : 10.2140/agt.2014.14.805
Classification : 20F65, 57M07
Keywords: subfactor projections, $\operatorname{Out}(F_n)$, fully irreducible automorphisms

Taylor, Samuel J  1

1 Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA 
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Taylor, Samuel J. A note on subfactor projections. Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 805-821. doi: 10.2140/agt.2014.14.805

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