On the width of transitive sets: bounds on matrix coefficients of finite groups

29 Jul 2019 Green Ben

We say that a finite subset of the unit sphere in $\mathbf{R}^d$ is transitive if there is a group of isometries which acts transitively on it. We show that the width of any transitive set is bounded above by a constant times $(\log d)^{-1/2}$... (read more)

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Categories


  • GROUP THEORY
  • COMBINATORICS
  • METRIC GEOMETRY