CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 11R65 ( Class groups and Picard groups of orders )

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 1997 (vol 49 pp. 1265)

Snaith, V. P.
Hecke algebras and class-group invariant
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, $\psi$, from its units to the class-group of ${\bf Z}[G]$. We show that this homomorphism takes values in the subgroup, $D({\bf Z}[G])$. 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 $\psi$. As an application we show that two such constructions coincide.

Categories:16S34, 19A99, 11R65

© Canadian Mathematical Society, 2014 : https://cms.math.ca/