Groups, Geometry, and Dynamics
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Published online: 2010-06-16
The free group of rank 2 is a limit of Thompson’s group FMatthew G. Brin (1) SUNY Binghamton University, USA
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.
Keywords: Thompson’s group, limit of marked groups
Brin Matthew: The free group of rank 2 is a limit of Thompson’s group F. Groups Geom. Dyn. 4 (2010), 433-454. doi: 10.4171/GGD/90