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arXiv · 0904.2626

The Free Group of Rank 2 is a Limit of Thompson's Group F

Matthew G. Brin
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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.

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Matthew G. Brin. 2009-04-21. The Free Group of Rank 2 is a Limit of Thompson's Group F. https://doi.org/10.4171/ggd%2F90

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