An abstract characterization of Thompson's group F
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 \otimes A > A; then F is the group of automorphisms of A.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2005
 arXiv:
 arXiv:math/0508617
 Bibcode:
 2005math......8617F
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Category Theory
 EPrint:
 17 pages. Revised and improved