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An abstract characterization of Thompson’s group F

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Abstract

We show that Thompson’s group F is the symmetry group of the ‘generic idempotent’. That is, take the monoidal category freely generated by an object A and an isomorphism A ⊗ A→A; then F is the group of automorphisms of A.

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Authors and Affiliations

  1. Computer Laboratory, University of Cambridge, Cambridge, UK

    Marcelo Fiore

  2. Department of Mathematics, University of Glasgow, Glasgow, UK

    Tom Leinster

Authors
  1. Marcelo Fiore
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  2. Tom Leinster
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Corresponding author

Correspondence to Tom Leinster.

Additional information

Communicated by Michael W. Mislove.

M. Fiore partially supported by an EPSRC Advanced Research Fellowship.

T. Leinster partially supported by a Nuffield Foundation award NUF-NAL 04 and an EPSRC Advanced Research Fellowship.

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Fiore, M., Leinster, T. An abstract characterization of Thompson’s group F . Semigroup Forum 80, 325–340 (2010). https://doi.org/10.1007/s00233-010-9209-2

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  • DOI: https://doi.org/10.1007/s00233-010-9209-2

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