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, 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 from the 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.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||18 May 2007|
|Last Modified:||02 Mar 2012 11:46|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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