Splitting quaternion algebras defined over a finite field extension

Karim Johannes Becher, Fatma Kader Bingöl, David B. Leep

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We study systems of quadratic forms over fields and their isotropy over 2-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a finite field extension. As a consequence we obtain that every central simple algebra of degree 16 is split by a 2-extension of degree at most 216.

Original languageEnglish
Article number2250061
JournalJournal of Algebra and its Applications
Issue number3
StatePublished - Mar 1 2022

Bibliographical note

Publisher Copyright:
© 2022 World Scientific Publishing Company.


  • 2 -extension
  • Central simple algebra
  • characteristic two
  • corestriction
  • exponent
  • index
  • quaternion algebra
  • splitting field
  • system of quadratic forms

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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