Geodesic
The free group of rank 2 is a limit of Thompson’s group $F$
Matthew G. Brin1
1SUNY Binghamton University, USA
Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 433-454

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DOI

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.
DOI : 10.4171/ggd/90
Classification : 20-XX, 00-XX
Mots-clés : Thompson’s group, limit of marked groups

Matthew G. Brin  1

1 SUNY Binghamton University, USA 
Matthew G. Brin. The free group of rank 2 is a limit of Thompson’s group $F$. Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 433-454. doi: 10.4171/ggd/90
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     year = {2010},
     volume = {4},
     number = {3},
     doi = {10.4171/ggd/90},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/90/}
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