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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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 |
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| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29913 |
| Date Deposited: | 18 May 2007 |
| Last Modified: | 02 Mar 2012 11:46 |
| Contributors: | Snaith, V.P. (Author) |
| Date: | 1997 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29913 |
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