Indices of inseparability for elementary abelian p-extensions

JOURNAL OF NUMBER THEORY

卷:136

Article

Keating, Kevin

关键词: Local field;    Elementary abelian p-extension;    Ramification theory;    Index of inseparability;    Class field theory;    Artin-Schreier extension;   

DOI  :  10.1016/j.jnt.2013.09.007

来源: Elsevier

【 摘 要 】

Let K be a local field whose residue field (K) over bar is a finite field of characteristic p and let L/K be a finite totally ramified Galois extension. Fried [3] and Heiermann [5] 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-x) 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free