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A note on subfactor projections

Taylor, SJ
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Journal Article
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2014-01-30
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math.GT
 math.GT
 math.GR
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http://hdl.handle.net/20.500.12613/5894
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1307.1495v1.pdf
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10.2140/agt.2014.14.805
Abstract
We extend some results of Bestvina and Feighn [4] 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.
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Mathematical Sciences Publishers
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Algebraic and Geometric Topology
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