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Subfields of Simple Algebras

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

Abstract

In this chapter we set the stage for a systematic study of the Brauer group. The details of the program will be worked out in the next chapter, using two main tools: the cohomology theory that was introduced in Chapter 11, and the properties of subfields of central simple algebras which will be established in the first five sections of this chapter. The last section of the chapter gives appUcations of the theory, including Wedderbum’s Theorem on Finite Division Algebras, and the Cartan-Brauer-Hua Theorem.

Keywords

Field Extension Division Algebra Simple Algebra Galois Extension Central Simple Algebra 
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.

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

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

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