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Hecke algebras and class-groups of integral group-rings

Snaith, V.P. (1997) Hecke algebras and class-groups of integral group-rings Canadian Journal of Mathematics, 49, (6), pp. 1265-1280.

Record type: Article

Abstract

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, ?, 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 from the Galois module structure of higher-dimensional algebraic K-groups of rings of algebraic integers often differ by elements in the image of ?. As an application we show that two such constructions coincide.

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Published date: 1997

Identifiers

Local EPrints ID: 29913
URI: http://eprints.soton.ac.uk/id/eprint/29913
ISSN: 0008-414X
PURE UUID: c033bc0e-a7e6-4d9d-b7f2-4737abcb7ed1

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Date deposited: 18 May 2007
Last modified: 17 Jul 2017 15:56

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Author: V.P. Snaith

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