Definite orders with locally free cancellation

Abstract We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.

Bibliographic Details
Main Authors: Daniel Smertnig, John Voight
Format: Article
Language:English
Published: Wiley 2019-12-01
Series:Transactions of the London Mathematical Society
Subjects:
Online Access:https://doi.org/10.1112/tlm3.12019
Description
Summary:Abstract We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
ISSN:2052-4986