minac@uwo.ca, joswallow@davidson.edu

Submission: 2003, Apr 7

In our previous paper we describe the Galois module structures of pth-power class groups K^\times/K^\times p, where K/F is a cyclic extension of degree p over a field F containing a primitive pth root of unity. Our description relies upon arithmetic invariants associated with K/F. Here we construct field extensions K/F with prescribed arithmetic invariants, thus completing our classification of Galois modules K^\times/K^\times p.

2000 Mathematics Subject Classification:

Keywords and Phrases:

Full text: dvi.gz 35 k, dvi 87 k, ps.gz 894 k, pdf.gz 178 k, pdf 212 k.

Server Home Page