Mathematics – Group Theory
Scientific paper
2009-04-17
Mathematics
Group Theory
19 pages, 19 figures
Scientific paper
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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