Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593923 | Journal of Number Theory | 2014 | 19 Pages |
Abstract
Let K be a local field whose residue field K¯ 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 NL/K(LÃ) 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kevin Keating,