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.

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Description/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.

Item Type: Article
ISSNs: 0008-414X (print)
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ePrint ID: 29913
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1997Published
Date Deposited: 18 May 2007
Last Modified: 16 Apr 2017 22:20
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/29913

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