JournalsggdVol. 4, No. 3pp. 433–454

The free group of rank 2 is a limit of Thompson’s group <var>F</var>

  • Matthew G. Brin

    SUNY Binghamton University, USA
The free group of rank 2 is a limit of Thompson’s group <var>F</var> cover
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Abstract

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.

Cite this article

Matthew G. Brin, The free group of rank 2 is a limit of Thompson’s group <var>F</var>. Groups Geom. Dyn. 4 (2010), no. 3, pp. 433–454

DOI 10.4171/GGD/90