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), 1265-1280.


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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, ?, 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
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29913
Accepted Date and Publication Date:
Date Deposited: 18 May 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29913

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