Definite orders with locally free cancellation
Number Theory
2019-11-13 v3 Rings and Algebras
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.
Cite
@article{arxiv.1903.10662,
title = {Definite orders with locally free cancellation},
author = {Daniel Smertnig and John Voight},
journal= {arXiv preprint arXiv:1903.10662},
year = {2019}
}
Comments
Some typos corrected; final version; 24 pages plus tables