Matthew G. Brin
Published 2009-04-17, updated 2009-04-21Version 2
We show that the free group of rank 2 is a limit of 2-markings of Thompson's group F in the space of all 2-marked groups. More specifically, we find a sequence of generating pairs for F so that as one goes out the sequence, the length of the shortest relation satisfied by the generating pair goes to infinity.
Comments: 19 pages, 19 figures
On several problems about automorphisms of the free group of rank two
Free limits of Thompson's group $F$
Extending representations of braid groups to the automorphism groups of free groups
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