Dihedral algebras are cyclic
Authors:
Louis H. Rowen and David J. Saltman
Journal:
Proc. Amer. Math. Soc. 84 (1982), 162164
MSC:
Primary 16A39; Secondary 12E15
MathSciNet review:
637160
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Abstract: Any central simple algebra of degree split by a Galois extension with dihedral Galois group of degree is, in fact, a cyclic algebra. We assume that the centers of these algebras contain a primitive th root of unity.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939198206371602
PII:
S 00029939(1982)06371602
Keywords:
Central simple algebra,
cyclic algebra
Article copyright:
© Copyright 1982
American Mathematical Society
