Publication
Title
Transfer of quadratic forms and of quaternion algebras over quadratic field extensions
Author
Abstract
Two different proofs are given showing that a quaternion algebra Q defined over a quadratic ,tale extension K of a given field has a corestriction that is not a division algebra if and only if Q contains a quadratic algebra that is linearly disjoint from K. This is known in the case of a quadratic field extension in characteristic different from two. In the case where K is split, the statement recovers a well-known result on biquaternion algebras due to Albert and Draxl.
Language
English
Source (journal)
Archiv der Mathematik. - Basel, 1948, currens
Publication
Basel : 2018
ISSN
0003-889X
Volume/pages
111:2(2018), p. 135-143
ISI
000439318000004
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 02.08.2018
Last edited 24.07.2021
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