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ON TWISTED FORMS AND RELATIVE ALGEBRAIC K-THEORY

Published online by Cambridge University Press:  19 December 2005

A. AGBOOLA  and
D. BURNS
A. AGBOOLA
Affiliation:
Department of Mathematics, University of California at Santa Barbara, CA 93106, USAagboola@math.ucsb.edu
D. BURNS
Affiliation:
Department of Mathematics, King's College London, Strand, London, WC2R 2LS, United Kingdom, david.burns@kcl.ac.uk
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Abstract

This paper introduces a new approach to the study of certain aspects of Galois module theory by combining ideas arising from the study of the Galois structure of torsors of finite group schemes with techniques coming from relative algebraic $K$-theory.

Keywords

twisted formsrelative algebraic K-groupsclassgroupsclass invariantsprimitive classesrealisable classesGalois module structure11-XX19-XX
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 1 , January 2006 , pp. 1 - 28
Copyright
2006 London Mathematical Society

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Footnotes

The research of the first-named author was partially supported by NSF grants DMS-9700937 and DMS-0070449.