Free limits of Thompson's group $F$
Azer Akhmedov, Melanie Stein, Jennifer Taback

TL;DR
This paper constructs sequences of markings of Thompson's group F that converge to free groups on n generators, providing new insights into the group's limits within the space of marked groups.
Contribution
It introduces explicit sequences of markings of F that converge to free groups, and provides presentations for these limit groups.
Findings
Sequences of markings of F converge to free groups for n ≥ 3
Presentations for limit groups of certain natural sequences
New understanding of the boundary of Thompson's group F in the space of marked groups
Abstract
We produce a sequence of markings of Thompson's group within the space of all marked -generator groups so that the sequence converges to the free group on generators, for . In addition, we give presentations for the limits of some other natural (convergent) sequences of markings to consider on within , including and .
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · semigroups and automata theory
