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Totally decomposable quadratic pairs

Journal Contribution - Journal Article

In this paper we show that a split central simple algebra with quadratic pair which decomposes into a tensor product of quaternion algebras with involution and a quaternion algebra with quadratic pair is adjoint to a quadratic Pfister form. This result is new in characteristic two, otherwise it is equivalent to the Pfister Factor Conjecture proven in Becher (Invent Math 173:1-6, 2008).
Journal: Mathematische Zeitschrift
ISSN: 0025-5874
Volume: 284
Pages: 117 - 129
Publication year:2016
Keywords:A1 Journal article
BOF-keylabel:yes
BOF-publication weight:1
CSS-citation score:1
Authors from:Higher Education
Accessibility:Closed