Multiplicative groups of fields and hereditarily irreducible polynomials
Rings and Algebras
2016-01-15 v1 Number Theory
Abstract
In this paper we explore the concept of {\em good heredity} for fields from a group theoretic perspective. Extending results from \cite{alice}, we show that several natural families of fields are of good heredity, and some others are not. We also construct several examples to show that various wishful thinking expectations are not true.
Keywords
Cite
@article{arxiv.1601.03424,
title = {Multiplicative groups of fields and hereditarily irreducible polynomials},
author = {Alice Medvedev and Ramin Takloo-Bighash},
journal= {arXiv preprint arXiv:1601.03424},
year = {2016}
}
Comments
21 pages