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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Dihedral algebras are cyclic


Authors: Pascal Mammone and Jean-Pierre Tignol
Journal: Proc. Amer. Math. Soc. 101 (1987), 217-218
MSC: Primary 12E15; Secondary 16A39, 19C30
MathSciNet review: 902530
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Abstract: This note gives a simple proof of the following theorem of Rowen and Saltman: Every central simple algebra split by a Galois extension of rank $ 2n$ ($ n$ odd) with dihedral Galois group is cyclic if the center contains a primitive $ n$th root of unity.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0902530-6
PII: S 0002-9939(1987)0902530-6
Keywords: Central simple algebra, cyclic algebra, corestriction
Article copyright: © Copyright 1987 American Mathematical Society