Bartel, Alex (2014) Factor equivalence of Galois modules and regulator constants. International Journal of Number Theory, Volume 10 (Number 1). doi:10.1142/S1793042113500772

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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 > 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:	Date Event February 2014 Published 18 September 2013 Available 26 June 2013 Accepted 31 October 2013 Submitted
Date of first compliant deposit:	26 December 2015
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
Funder:	Great Britain. Royal Commission for the Exhibition of 1851

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