Dihedral algebras are cyclic

Louis H. Rowen, David J. Saltman

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Any central simple algebra of degree n split by a Galois extension with dihedral Galois group of degree 2« is, in fact, a cyclic algebra. We assume that the centers of these algebras contain a primitive nth root of unity.

Original languageEnglish
Pages (from-to)162-164
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - Feb 1982
Externally publishedYes


  • Central simple algebra
  • Cyclic algebra


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