Quaternion algebras with unitary involutions having the same subfields

S. V. Tikhonov

Belarussian State University (Minsk)

Abstract: We construct a field $E$ such that there are infinitely many non-isomorphic quaternion $E$-algebras with unitary involution and all such algebras are split by any quadratic field extension of $E$.

Keywords: central division algebra, Brauer group, subfield, genus.

UDC: 512.552

Received: 17.03.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-226-235