activity
19972020
most citedSubfactor projections

25 citations · 128 across the 13 of their papers we have counts for

collaborators

16 papers

math.GR2020★ 1 cited

A McCool Whitehead type theorem for finitely generated subgroups of

Mladen Bestvina, Mark Feighn, Michael Handel

S. Gersten announced an algorithm that takes as input two finite sequences and of conjugacy classes of finitely generated sub…

math.GR2019★ 3 cited

The conjugacy problem for UPG elements of

Mark Feighn, Michael Handel

An element of the outer automorphism group $\Out(\f)$ of the rank free group is {\it polynomially growing} if the word lengths of conjugacy classes in $\f$ grow at mo…

math.GR2014

Algorithmic constructions of relative train track maps and CTs

Mark Feighn, Michael Handel

Every rotationless outer automorphism of a finite rank free group is represented by a particularly useful relative train track map called a CT. The main result of this paper is tha…

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…

math.GR2011

Hyperbolicity of the complex of free factors

Mladen Bestvina, Mark Feighn

We develop the geometry of folding paths in Outer space and, as an application, prove that the complex of free factors of a free group of finite rank is hyperbolic.

math.GR2008

Notes on Sela's work: Limit groups and Makanin-Razborov diagrams

Mladen Bestvina, Mark Feighn

This is the first in a planned series of papers giving an alternate approach to Zlil Sela's work on the Tarski problems. The present paper is an exposition of work of Kharlampovich…