An abstract characterization of Thompson's group F

作者：Fiore Marcelo; Leinster Tom^*

来源：Semigroup Forum, 2010, 80(2): 325-340.

DOI：10.1007/s00233-010-9209-2

• Thompson groups
• Monoidal category
• Idempotent
• Operad
• Groupoid

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

• 出版日期2010-4