# 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.

Original Publication URL: http://journals.cms.math.ca/cgi-bin/vault//view/sn...

## 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 |