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.
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The author thanks Jean-Pierre Tignol for his comments on the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).