Counting Elements on Full Matrix Groups over Finite Field with Prescribed Eigenvalues

Published 28 Aug 2020 in math.CO | (2008.13568v1)

Abstract: In the present article we shown a formula to compute the number of all matrices over the finite field $F$ whit prescribed eigenvalues. Using this formula we obtain one inequality for the number of $(k+1)$-potent elements over finite rings.

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