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

2020/08/28 by Gargate, Ivan, Gargate, Michael
#05A05 #15B33 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.13568

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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