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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Embedding rational division algebras


Author: Burton Fein
Journal: Proc. Amer. Math. Soc. 32 (1972), 427-429
MSC: Primary 16.46
DOI: https://doi.org/10.1090/S0002-9939-1972-0289568-9
MathSciNet review: 0289568
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Abstract: Necessary and sufficient conditions are given for two K-division rings, K an algebraic number field, to have precisely the same set of subfields. Using this, an example is presented of two K-division rings having precisely the same set of subfields such that only one of the division rings can be embedded in a Q-division ring.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0289568-9
Keywords: Rational division algebra, Hasse invariant, Grünwald-Wang theorem
Article copyright: © Copyright 1972 American Mathematical Society