Cayley digraphs of matrix rings over finite fields (Yesim Demiroglu, HMC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesIn this talk we use the unit-graphs and the special unit-digraphs on matrix rings to show that every n x n nonzero matrix over F_q can be written as a sum of two SL_n-matrices when n>1. We compute the eigenvalues of these graphs in terms of Kloosterman sums and study their spectral properties; and prove […]