The factors of the ramification sequence of a class of wildly ramified v-rings

Robert D. Davis

Vol. 78 (1978), No. 1, 61–87

DOI: 10.2140/pjm.1978.78.61

Abstract

Let R_e denote a v-ring of characteristic 0, with maximal ideal M and residue field h of characteristic p (p≠0,2) in which p generates the e-th power of the maximal ideal. If p divides e, R_e is said to be wildly ramified. This work is concerned primarily with the determination of the factor groups of the ramification sequences of wildly ramified v-rings having ramification 2p.

Mathematical Subject Classification 2000

Primary: 12F15

Milestones

Received: 18 March 1977

Published: 1 September 1978