Dihedral algebras are cyclic
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- by Louis H. Rowen and David J. Saltman PDF
- Proc. Amer. Math. Soc. 84 (1982), 162-164 Request permission
Abstract:
Any central simple algebra of degree $n$ split by a Galois extension with dihedral Galois group of degree $2n$ is, in fact, a cyclic algebra. We assume that the centers of these algebras contain a primitive $n$th root of unity.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 162-164
- MSC: Primary 16A39; Secondary 12E15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0637160-2
- MathSciNet review: 637160