Uniform Diameter Bounds for Families of Finite Groups

18 June 2014
Henry Bradford

I shall outline a general method for finding upper bounds on the diameters of finite groups, based on the Solovay-Kitaev procedure from quantum computation. This method may be fruitfully applied to groups arising as quotients of many familiar pro-p groups. Time permitting, I will indicate a connection with weak spectral gap, and give some applications.

  • Junior Topology and Group Theory Seminar