Definite orders with locally free cancellation

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:
11R52 (primary)
11E41
11Y40
16G30
16H20 (secondary)
Online Access:https://doi.org/10.1112/tlm3.12019
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spelling doaj-a274ab5e3c314a2b83c5eb1b3bae12582020-11-25T02:03:01ZengWileyTransactions of the London Mathematical Society2052-49862019-12-0161538610.1112/tlm3.12019Definite orders with locally free cancellationDaniel Smertnig0John Voight1Department of Pure Mathematics University of Waterloo Waterloo ON Canada N2L 3G1Department of Mathematics Dartmouth College 6188 Kemeny Hall Hanover NH 03755 USAAbstract 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.https://doi.org/10.1112/tlm3.1201911R52 (primary)11E4111Y4016G3016H20 (secondary)
collection DOAJ
language English
format Article
sources DOAJ
author Daniel Smertnig
John Voight
spellingShingle Daniel Smertnig
John Voight
Definite orders with locally free cancellation
Transactions of the London Mathematical Society
11R52 (primary)
11E41
11Y40
16G30
16H20 (secondary)
author_facet Daniel Smertnig
John Voight
author_sort Daniel Smertnig
title Definite orders with locally free cancellation
title_short Definite orders with locally free cancellation
title_full Definite orders with locally free cancellation
title_fullStr Definite orders with locally free cancellation
title_full_unstemmed Definite orders with locally free cancellation
title_sort definite orders with locally free cancellation
publisher Wiley
series Transactions of the London Mathematical Society
issn 2052-4986
publishDate 2019-12-01
description 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.
topic 11R52 (primary)
11E41
11Y40
16G30
16H20 (secondary)
url https://doi.org/10.1112/tlm3.12019
work_keys_str_mv AT danielsmertnig definiteorderswithlocallyfreecancellation
AT johnvoight definiteorderswithlocallyfreecancellation
_version_ 1724949879282728960

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