Geodesic
Quaternion algebras with unitary involutions having the same subfields
Čebyševskij sbornik, Tome 25 (2024) no. 3, pp. 226-235 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : genus. 
@article{CHEB_2024_25_3_a14,
     author = {S. V. Tikhonov},
     title = {Quaternion algebras with unitary involutions having the same subfields},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {226--235},
     year = {2024},
     volume = {25},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_3_a14/}
}
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S. V. Tikhonov. Quaternion algebras with unitary involutions having the same subfields. Čebyševskij sbornik, Tome 25 (2024) no. 3, pp. 226-235. http://geodesic.mathdoc.fr/item/CHEB_2024_25_3_a14/