Word Equations on finite nilpotent groups of class 2
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 Ainhoa Iniguez Goizueta, University of Oxford
 Friday 14 March 2014, 15:0016:00
 CMS, 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 ntuples satisfying w, N(w,G), is at least G^{n1}. 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 and Number Theory seminar series.
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