Diameter conjecture for large subsets of classical compact groups
Let GGG be one of SU(n)\mathrm{SU}(n)SU(n), SO(n)\mathrm{SO}(n)SO(n), Spin(n)\mathrm{Spin}(n)Spin(n), or Sp(n)\mathrm{Sp}(n)Sp(n), and let A⊆G\mathcal{A}\subseteq GA⊆G be measurable with measure ν\nuν. The diameter with…