An abstract characterization of Thompson's group F

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

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Leinster, Dr Tom
• Authors: Fiore, M., and Leinster, T.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Semigroup Forum
• ISSN: 0037-1912
• ISSN (Online): 1432-2137
• Published Online: 23 January 2010

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