Dihedral algebras are cyclic

Louis H. Rowen, David J. Saltman

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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
Volume84
Issue number2
DOIs
StatePublished - Feb 1982
Externally publishedYes

Keywords

  • Central simple algebra
  • Cyclic algebra

Fingerprint

Dive into the research topics of 'Dihedral algebras are cyclic'. Together they form a unique fingerprint.

Cite this