Wildly primitive extensions
Number Theory
2017-02-23 v3
Abstract
A finite separable extension of a field is called primitive if there are no intermediate extensions. The most interesting primitive extensions of a local field with finite residue field are the wildly ramified ones, and our aim here is to parametrise them in a canonical manner.
Cite
@article{arxiv.1608.04183,
title = {Wildly primitive extensions},
author = {Chandan Singh Dalawat},
journal= {arXiv preprint arXiv:1608.04183},
year = {2017}
}
Comments
13 pages. Clarified remark (5)