Triple linkage of quadratic Pfister forms

Adam Chapman, Andrew Dolphin, David B. Leep

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Given a field F of characteristic 2, we prove that if every three quadratic n-fold Pfister forms have a common quadratic (n- 1) -fold Pfister factor then Iqn+1F=0. As a result, we obtain that if every three quaternion algebras over F share a common maximal subfield then u(F) is either 0, 2 or 4. We also prove that if F is a nonreal field with char(F)≠2 and u(F) = 4 , then every three quaternion algebras share a common maximal subfield.

Original languageEnglish
Pages (from-to)435-443
Number of pages9
JournalManuscripta Mathematica
Volume157
Issue number3-4
DOIs
StatePublished - Nov 1 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

  • General Mathematics

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