Hecke algebras and class-groups of integral group-rings
Hecke algebras and class-groups of integral group-rings
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.
1265-1280
Snaith, V.P.
83f813a1-2402-4f24-bdbf-be1b6a92dd34
1997
Snaith, V.P.
83f813a1-2402-4f24-bdbf-be1b6a92dd34
Snaith, V.P.
(1997)
Hecke algebras and class-groups of integral group-rings.
Canadian Journal of Mathematics, 49 (6), .
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.
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Published date: 1997
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Local EPrints ID: 29913
URI: http://eprints.soton.ac.uk/id/eprint/29913
ISSN: 0008-414X
PURE UUID: c033bc0e-a7e6-4d9d-b7f2-4737abcb7ed1
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Date deposited: 18 May 2007
Last modified: 08 Jan 2022 09:56
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V.P. Snaith
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