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Chebyshevskii Sbornik, 2024, Volume 25, Issue 3, Pages 226–235
DOI: https://doi.org/10.22405/2226-8383-2024-25-3-226-235 (Mi cheb1456) 		 
Quaternion algebras with unitary involutions having the same subfields

S. V. Tikhonov

Belarussian State University (Minsk)
Full-text PDF (595 kB)
DOI: 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 $E$.
Keywords: central division algebra, Brauer group, subfield, genus.
Received: 17.03.2024
Accepted: 04.09.2024
Document Type: Article
UDC: 512.552
Language: Russian
Citation: S. V. Tikhonov, “Quaternion algebras with unitary involutions having the same subfields”, Chebyshevskii Sb., 25:3 (2024), 226–235
Citation in format AMSBIB
\Bibitem{Tik24}
\by S.~V.~Tikhonov
\paper Quaternion algebras with unitary involutions having the same subfields
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 3
\pages 226--235
\mathnet{http://mi.mathnet.ru/cheb1456}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-3-226-235}
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