Hostname: page-component-7dd5485656-glrdx Total loading time: 0 Render date: 2025-10-31T05:32:57.391Z Has data issue: false hasContentIssue false
  • English
  • Français

Bounding a unit index in terms of a ring index

Part of: Algebraic number theory: global fields

Published online by Cambridge University Press:  26 February 2010

John Wolfskill
John Wolfskill
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, U.S.A.
Get access

Abstract

Let R⊂S be two orders in a number field, and let ER and ES be the respective groups of units in each ring. Then ES/ER and S/R are both finite. We consider the problem of bounding the order of ES/ER in terms of the index of R in S. In this paper we solve this problem in the special case that S/R is cyclic as a module over Z.

MSC classification

Secondary: 11R27: Units and factorization

Information

Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 199 - 205
Copyright
Copyright © University College London 1995

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.)

Article purchase

Temporarily unavailable

References

1. Cohn, H.. A classical invitation to algebraic numbers and class fields (Springer-Verlag, New York, 1978).Google Scholar