Extensions of algebraic function fields with complete splitting of all rational places
Number Theory
2007-05-23 v1
Abstract
We introduce the notion of "quasi-symmetric" polynomials, which is a generalization of the notion of symmetry, and is particularly suited to the setting of polynomial rings over finite fields. The properties of this new class of functions are studied. It is then shown that quasi-symmetric polynomials are very useful in splitting rational places in extensions of function fields over finite fields and thus may be used in constructing extensions with many rational places.
Keywords
Cite
@article{arxiv.math/0010194,
title = {Extensions of algebraic function fields with complete splitting of all rational places},
author = {Vinay Deolalikar},
journal= {arXiv preprint arXiv:math/0010194},
year = {2007}
}
Comments
18 pages