The Library
Factor equivalence of Galois modules and regulator constants
Tools
Bartel, Alex (2014) Factor equivalence of Galois modules and regulator constants. International Journal of Number Theory, Volume 10 (Number 1). doi:10.1142/S1793042113500772 ISSN 1793-0421.
|
PDF
WRAP_Bartel_s1793042113500772.pdf - Published Version - Requires a PDF viewer. Download (370Kb) | Preview |
Official URL: http://dx.doi.org/10.1142/S1793042113500772
Abstract
We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their unit groups, and on the other hand, regulator constants, a set of invariants attached to integral group representations by Dokchitser and Dokchitser, and used by the author, among others, to study Galois module structures. We show that the two approaches are in fact closely related, and interpret results arising from these two approaches in terms of each other. We then use this comparison to derive a factorizability result on higher K-groups of rings of integers, which is a direct analogue of a theorem of de Smit on S-units.
Item Type: | Journal Article | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Library of Congress Subject Headings (LCSH): | Galois modules (Algebra) | ||||||||||
Journal or Publication Title: | International Journal of Number Theory | ||||||||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||||||
ISSN: | 1793-0421 | ||||||||||
Official Date: | February 2014 | ||||||||||
Dates: |
|
||||||||||
Volume: | Volume 10 | ||||||||||
Number: | Number 1 | ||||||||||
Number of Pages: | 12 | ||||||||||
DOI: | 10.1142/S1793042113500772 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||
Date of first compliant deposit: | 26 December 2015 | ||||||||||
Date of first compliant Open Access: | 26 December 2015 | ||||||||||
Funder: | Great Britain. Royal Commission for the Exhibition of 1851 |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year