The University of Montana
Department of Mathematical Sciences

Technical report #3/2010

Distinguishing division algebras by finite splitting fields

Daniel Krashen and Kelly McKinnie

Abstract

This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.

Keywords: Division algebras, Brauer group, splitting fields

AMS Subject Classification: 16K50, 14F22

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