Linearized Polynomials, Galois Groups and Symmetric Power Modules
Number Theory
2022-06-06 v1
Abstract
We investigate some Galois groups of linearized polynomials over fields such as . The space of roots of such a polynomial is a module for its Galois group. We present a realization of the symmetric powers of this module, as a subspace of the splitting field of another linearized polynomial.
Cite
@article{arxiv.2206.01551,
title = {Linearized Polynomials, Galois Groups and Symmetric Power Modules},
author = {Rod Gow and Gary McGuire},
journal= {arXiv preprint arXiv:2206.01551},
year = {2022}
}