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Irrational Variants of Thompson's Group F

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  • UserNick Winstone, Royal Holloway, University of London
  • ClockFriday 29 November 2019, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Liam Jolliffe .

Abstract: We introduce Thompson’s groups F, T, and V. An element of F can be defined as the affine interpolation of two regular subdivisions of the unit interval. We define regular subdivisions associated with subdivision polynomials and determine which regular subdivisions can be used to create the elements of the groups F_Ī„ with Ī„ an algebraic integer. By adapting the work of S. Cleary and J. Brown, we find that for subdivision polynomials of degree 2, the subdivision polynomials must be Pisot polynomials.

This talk is part of the Junior Algebra and Number Theory seminar series.

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