University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Word Equations on finite nilpotent groups of class 2

Word Equations on finite nilpotent groups of class 2

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  • UserAinhoa Iniguez Goizueta, University of Oxford
  • ClockFriday 14 March 2014, 15:00-16:00
  • HouseCMS, MR5.

If you have a question about this talk, please contact Julian Brough.

Let G be a finite nilpotent group of class at most 2, and let w=w(x1,...,xn) be a group word in n variables. Then we prove that the number of n-tuples satisfying w, N(w,G), is at least |G|^{n-1}. This result, also independently obtained by Matthew Levy, solves a special case of a conjecture of Alon Amit.

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

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