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.
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Krashen, D., McKinnie, K. Distinguishing division algebras by finite splitting fields. manuscripta math. 134, 171–182 (2011). https://doi.org/10.1007/s00229-010-0390-0
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DOI: https://doi.org/10.1007/s00229-010-0390-0