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Hecke Algebras and Class-Group Invariants

Published online by Cambridge University Press:  20 November 2018

V. P. Snaith
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Abstract

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Let G be a finite group. To a set of subgroups of order two we associate a mod 2 Hecke algebra and construct a homomorphism, ψ, from its units to the class-group of Z[G]. We show that this homomorphism takes values in the subgroup, D(Z[G]). Alternative constructions of Chinburg invariants arising fromthe Galois module structure of higher-dimensional algebraic K-groups of rings of algebraic integers often differ by elements in the image of ψ. As an application we show that two such constructions coincide.

Keywords

16S3419A9911R65
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 6 , 01 December 1997 , pp. 1265 - 1280
Copyright
Copyright © Canadian Mathematical Society 1997

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