Indices of inseparability for elementary abelian p-extensions
Number Theory
2013-11-08 v2
Abstract
Let K be a local field whose residue field is a finite field of characteristic p, and let L/K be a finite totally ramified Galois extension. Fried and Heiermann defined the "indices of inseparability" of L/K, a refinement of the ramification data of L/K. We give a method for computing the indices of inseparability of the extension L/K in terms of the norm group N_{L/K}(L^*) in the case where K has characteristic p and Gal(L/K) is an elementary abelian p-group with a single ramification break. In some cases our methods lead to simple formulas for the indices of inseparability.
Keywords
Cite
@article{arxiv.1205.2517,
title = {Indices of inseparability for elementary abelian p-extensions},
author = {Kevin Keating},
journal= {arXiv preprint arXiv:1205.2517},
year = {2013}
}
Comments
19 pages