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12:15 pm

Cayley digraphs of matrix rings over finite fields (Yesim Demiroglu, HMC)

November 13, 2018 @ 12:15 pm - 1:10 pm
Millikan 2099, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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In 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 […]

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