An abstract characterization of Thompson's group F

Marcelo Fiore, Tom Leinster

Research output: Contribution to journalArticlepeer-review


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 \otimes A -> A; then F is the group of automorphisms of A.

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalSemigroup forum
Issue number2
Publication statusPublished - Apr 2010


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