Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-10T16:49:20.320Z Has data issue: false hasContentIssue false
  • English
  • Français

GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pn

Published online by Cambridge University Press:  20 February 2006

JÁN MINÁČ ,
ANDREW SCHULTZ  and
JOHN SWALLOW
JÁN MINÁČ
Affiliation:
Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario N6A 5B7, Canadaminac@uwo.ca
ANDREW SCHULTZ
Affiliation:
Department of Mathematics, Building 380, Stanford University, Stanford, CA 94305-2125, USAaschultz@stanford.edu
JOHN SWALLOW
Affiliation:
Department of Mathematics, Davidson College, Box 7046, Davidson, NC 28035-7046, USAjoswallow@davidson.edu
Get access

Abstract

In the mid-1960s Borevi$\setminus$v\{c\} and Faddeev initiated the study of the Galois module structure of groups of \$p\$th-power classes of cyclic extensions \$K/F\$ of \$p\$th-power degree. They determined the structure of these modules in the case when \$F\$ is a local field. In this paper we determine these Galois modules for all base fields \$F\$.

Keywords

Galois module\$p\$th-power classesnormcyclic extensionHilbert 9012F10 (primary)16D70 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 2 , March 2006 , pp. 307 - 341
Copyright
2006 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)