Linkage of sets of Quaternion Algebras in characteristic 2

2019/11/08 by Chapman, Adam
#11E04 (secondary) #11E81 #16K20 (primary) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1911.03334

Abstract

This note contains two new observations on the linkage properties of quaternion algebras over fields of characteristic 2: first, that a 3-linked field need not be 4-linked (a case which was left open in previous papers) and that three inseparably linked quaternion algebras are also cyclically linked when the base-field is odd-closed.

Related

• Total linkage of quaternion algebras and Pfister forms in characteristic\n two
• Quadratic Extension Algebras and Quaternion Algebras Over Fields (of Characteristic not 2)
• Triple Linkage of Quadratic Pfister Forms
• Linkage of Sets of Cyclic Algebras
• Chain Equivalences for Symplectic Bases, Quadratic Forms and Tensor Products of Quaternion Algebras