The Brauer Group of a Field Public Deposited

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Last Modified
  • February 26, 2019
Creator
  • Aycock, Jonathan
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • In this paper we discuss the Brauer group of a field and its connections with cohomology groups. Definitions involving central simple algebras lead to a discussion of splitting fields, which are the important step in the connection of the Brauer group with cohomology groups. Finally, once the connection between the Brauer group and cohomology groups is established, specific examples of cocycles associated to central simple algebras are calculated.
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  • In Copyright
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  • Funding: None
Advisor
  • Sawon, Justin
Degree
  • Bachelor of Science
Honors level
  • Honors
Degree granting institution
  • University of North Carolina at Chapel Hill
Extent
  • 20
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