New examples of determinant divisibility sequences
Number Theory
2015-03-10 v1
Abstract
In this paper we consider divisibility sequences obtained from square matrices. We work with of matrix divisibility sequences associated to a semigroup and arising from endomorphisms of an affine space. We prove that determinant divisibility sequences originated from powers of square matrices are generalized Lucas sequences.
Cite
@article{arxiv.1503.02215,
title = {New examples of determinant divisibility sequences},
author = {Krzysztof Górnisiewicz},
journal= {arXiv preprint arXiv:1503.02215},
year = {2015}
}