A short note on the order of the Zhang-Liu matrices over arbitrary fields
Combinatorics
2017-02-07 v1
Abstract
We give necessary and sufficient conditions for the Zhang-Liu matrices to be diagonalizable over arbitrary fields and provide the eigen-decomposition when it is possible. We use this result to calculate the order of these matrices over any arbitrary field. This generalizes a result of the second author.
Keywords
Cite
@article{arxiv.1702.01321,
title = {A short note on the order of the Zhang-Liu matrices over arbitrary fields},
author = {Leo Betthauser and Josh Hiller},
journal= {arXiv preprint arXiv:1702.01321},
year = {2017}
}
Comments
Keywords: Pascal Matrix, cyclic group orders, eigenvectors, binomial coefficients, finite fields