Advertisement

Cyclic Division Algebras

  • Richard S. Pierce
Part of the Graduate Texts in Mathematics book series (GTM, volume 88)

Abstract

The first examples of division algebras that were found after the quaternions belong to the class of cyclic division algebras. This class still plays a major role in the theory of central simple algebras. If is a local field, an algebraic number field, or more generally a global field, then every central division algebra over F is cyclic. This fact will be proved later; it is one of the most profound results in this book.

Keywords

Division Algebra Galois Extension Quaternion Algebra Primary Decomposition Fixed Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • Richard S. Pierce
    • 1
  1. 1.University of ArizonaTucsonUSA

Personalised recommendations