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math.GR2012★ 46 cited
The boundary of the complex of free factors
Mladen Bestvina, Patrick Reynolds
We give a description of the boundary of a complex of free factors that is analogous to E. Klarreich's description of the boundary of a curve complex. The argument uses the geometr…
math.GR2012★ 25 cited
Subfactor projections
Mladen Bestvina, Mark Feighn
When two free factors A and B of a free group F_n are in "general position" we define the projection of B to the splitting complex (alternatively, the complex of free factors) of A…