Quaternion algebras with unitary involutions having the same subfields
https://doi.org/10.22405/2226-8383-2024-25-3-226-235
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.
About the Author
Sergey Viktorovich Tikhonov
Belarussian State University
Belarus
Belarus
candidate of physical and mathematical sciences
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Review
For citations:
Tikhonov S.V. Quaternion algebras with unitary involutions having the same subfields. Chebyshevskii Sbornik. 2024;25(3):226-235. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-3-226-235
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