The Free Group of Rank 2 is a Limit of Thompson's Group F
classification
🧮 math.GR
keywords
groupfreegeneratinggoeslimitranksequencethompson
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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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