2014/03/26 by Adam Chapman, Andrew E. Dolphin, Chapman, Adam +3
Mathematics · #11E04 #11E81 #16K20 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1403.6682
openalex publication_date 2014/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the subfields of quaternion algebras that are quadratic extensions\nof their center in characteristic 2. We provide examples of the following: two\nnon-isomorphic quaternion algebras that share all their quadratic subfields,\ntwo quaternion algebras that share all their inseparable but not all their\nseparable quadratic subfields and two algebras that share all their separable\nbut not all their inseparable quadratic subfields. We also discuss quaternion\nalgebras over global fields and fields of Laurent series over a perfect field\nof characteristic 2 and show that the quaternion algebras over these fields are\ndetermined by their separable quadratic subfields. Throughout, these linkage\nquestions are treated in the more general setting by considering the linkage of\nPfister forms.\n