Article contents
Bounding a unit index in terms of a ring index
Published online by Cambridge University Press: 26 February 2010
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
- Type
- Research Article
- Information
- Copyright
- Copyright © University College London 1995
References
- 1
- Cited by