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We study the subfields of quaternion algebras that are quadratic extensionsof their center in characteristic 2. We provide examples of the following: twonon-isomorphic quaternion algebras that share all their quadratic subfields,two quaternion algebras that share all their inseparable but not all theirseparable quadratic subfields and two algebras that share all their separablebut not all their inseparable quadratic subfields. We also discuss quaternionalgebras over global fields and fields of Laurent series over a perfect fieldof characteristic 2 and show that the quaternion algebras over these fields aredetermined by their separable quadratic subfields. Throughout, these linkagequestions are treated in the more general setting by considering the linkage ofPfister forms.

Total linkage of quaternion algebras and Pfister forms in characteristic two