Qp-polynomial isometries of Zp
Abstract
This paper is devoted to polynomial isometries of Zpwith coefficients in Qp. We reduce the study of such a map to finite numbers of polynomial bijections and of polynomial isometries of Zpwith coefficients in Zp, which are well-known. These numbers do not depend on the degree of the polynomial but on its ”order”, which we introduce here.
Copyright © 2014 Martial Aufranc. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Aufranc, Qp-polynomial isometries of Zp, J. Math. Comput. Sci. 4 (2014), 226–245.
BibTeX
@article{Aufranc2014,
author = {Aufranc, Martial},
title = {Qp-polynomial isometries of Zp},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {226--245},
doi = {}
}