Linkage of quadratic Pfister forms

Adam Chapman, Shira Gilat, Uzi Vishne

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We study the necessary conditions for sets of quadratic n-fold Pfister forms to have a common (n−1)-fold Pfister factor. For any set S of n-fold Pfister forms generating a subgroup of In qF/In+1 qF of order 2s in which every element has an n-fold Pfister representative, we associate an invariant in In+1 qF which lives inside In+s−1 qF when the forms in S have a common (n−1)-fold Pfister factor. We study the properties of this invariant and compute it explicitly in a few interesting cases.

Original languageEnglish
Pages (from-to)5212-5226
Number of pages15
JournalCommunications in Algebra
Volume45
Issue number12
DOIs
StatePublished - 2 Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 Taylor & Francis.

Keywords

  • Linkage
  • Pfister forms
  • quadratic forms
  • quaternion algebras

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