Annals of K-Theory

Triple linkage

Karim Johannes Becher

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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.

Article information

Ann. K-Theory, Volume 3, Number 3 (2018), 369-378.

Received: 14 September 2015
Revised: 12 October 2017
Accepted: 31 October 2017
First available in Project Euclid: 24 July 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11E04: Quadratic forms over general fields 11E81: Algebraic theory of quadratic forms; Witt groups and rings [See also 19G12, 19G24] 19D45: Higher symbols, Milnor $K$-theory

field Milnor $K$-theory symbol linkage bilinear Pfister form quadratic form Hasse number $u$-invariant


Becher, Karim Johannes. Triple linkage. Ann. K-Theory 3 (2018), no. 3, 369--378. doi:10.2140/akt.2018.3.369.

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