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Embedding rational division algebras

Published:1972 Issue:2 Volume:32 Page:427-429
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fein Burton

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-032-02/S0002-9939-1972-0289568-9/S0002-9939-1972-0289568-9.pdf

Reference4 articles.

1. American Mathematical Society Colloquium Publications, Vol. XXIV;Albert, A. Adrian,1961

2. E. Artin and J. Tate, Class field theory, Harvard Univ. Press, Cambridge, Mass., 1961. (Cf. MR 36 #6383.)

3. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 41;Deuring, Max,1968

4. Embedding finite groups in rational division algebras. I;Fein, Burton;J. Algebra,1971

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Associative rings;Journal of Soviet Mathematics;1987-08

2. Bibliography;North-Holland Mathematics Studies;1980

3. Herstein's conjecture, automorphisms and the schur group;Communications in Algebra;1978-01

4. Generalized uniform distribution of hasse invariants;Communications in Algebra;1977-01

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