English

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

Combinatorics 2020-09-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.2008.13568,
  title  = {Counting Elements on Full Matrix Groups over Finite Field with Prescribed Eigenvalues},
  author = {Ivan Gargate and Michael Gargate},
  journal= {arXiv preprint arXiv:2008.13568},
  year   = {2020}
}

Comments

9 pages, 1 table

R2 v1 2026-06-23T18:12:35.395Z