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

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.

9 pages, 1 table

References in corpus (2)

• Involutions on Incidence Algebras of Finite Posets
• Coninvolutions on Upper Triangular Matrix Group over the Ring of Gaussian Integers and Quaternions integers modulo $p$