English

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

R2 v1 2026-06-21T21:02:16.789Z