Distinguishing division algebras by finite splitting fields

@article{Krashen2010DistinguishingDA,
  title={Distinguishing division algebras by finite splitting fields},
  author={D. Krashen and Kelly L. McKinnie},
  journal={Manuscripta Mathematica},
  year={2010},
  volume={134},
  pages={171-182}
}
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. 
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