An abstract characterization of Thompson's group F

Details An abstract characterization of Thompson's group F An abstract characterization of Thompson's group F

2005-08-30

arxiv.org/abs/math/0508617v2

Semigroup Forum 80 (2010), 325-340

Mathematics

Group Theory

17 pages. Revised and improved; final journal version. Title changed

Scientific paper

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.

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