New presentations for R. Thompson’s group V

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• Martyn Quick, University of St Andrews
• Wednesday 04 November 2015, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

Thompson’s group V is probably one of the best known example of a finitely presented simple group. The presentation originally given by Thompson in his notes appears to have remained the best in terms of fewest generators and relations for decades. In this talk, I will give a number of different collections of generators, including a new smaller presentation, for V and comment on generating sets for its relatives nV. These will illustrate how Thompson’s group V can be viewed as an infinite analogue of the finite alternating and symmetric groups. This is ongoing joint work with Collin Bleak.

This talk is part of the Algebra and Representation Theory Seminar series.

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