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.

Download

Full text not available from this repository.

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, 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.

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

Actions (login required)

View Item View Item