Factor equivalence of Galois modules and regulator constants

Bartel, A. (2014) Factor equivalence of Galois modules and regulator constants. International Journal of Number Theory, 10(1), pp. 1-12. (doi: 10.1142/S1793042113500772)

149655.pdf - Accepted Version



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:Articles
Glasgow Author(s) Enlighten ID:Bartel, Professor Alex
Authors: Bartel, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Number Theory
Publisher:World Scientific Publishing
ISSN (Online):1793-7310
Published Online:18 September 2013
Copyright Holders:Copyright © 2013 World Scientific Publishing
First Published:First published in International Journal of Number Theory 10(1):1-12
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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