Vol. 3, No. 3, 2018

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Triple linkage

Karim Johannes Becher

Vol. 3 (2018), No. 3, 369–378

We study the condition on a field that any triple of (bilinear) Pfister forms of a given dimension are linked. This is a strengthening of the condition of linkage investigated by Elman and Lam, which asks the same for pairs of Pfister forms. In characteristic different from two this condition for triples of 2-fold Pfister forms is related to the Hasse number.

field, Milnor $K$-theory, symbol, linkage, bilinear Pfister form, quadratic form, Hasse number, $u$-invariant
Mathematical Subject Classification 2010
Primary: 11E04, 11E81, 19D45
Received: 14 September 2015
Revised: 12 October 2017
Accepted: 31 October 2017
Published: 16 July 2018
Karim Johannes Becher
Departement Wiskunde & Informatica
Universiteit Antwerpen