Title
Non-hyperbolic splitting of quadratic pairs Non-hyperbolic splitting of quadratic pairs
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Journal of Algebra & Its Applications
Volume/pages
14(2015) :10 , 22 p.
ISSN
0219-4988
0219-4988
Article Reference
1550138
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We show that a non-hyperbolic quadratic pair on a central simple algebra Brauer equivalent to a quaternion algebra stays non-hyperbolic over some splitting field of the quaternion algebra. This extends a result previously only known for fields of characteristic different from two. Our presentation is free from restrictions on the characteristic of the base field.
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