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## 12:15 pm

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

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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