Geodesic
Hecke Algebras and Class-Group Invariants
Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1265-1280

Voir la notice de l'article provenant de la source Cambridge University Press

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 fromthe 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.
DOI : 10.4153/CJM-1997-062-x
Mots-clés : 16S34, 19A99, 11R65 
Hecke Algebras and Class-Group Invariants. Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1265-1280. doi: 10.4153/CJM-1997-062-x
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