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Distinguishing division algebras by finite splitting fields

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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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Authors and Affiliations

  1. Department of Mathematics, University of Georgia, Athens, GA, 30602, USA

    Daniel Krashen

  2. Department of Mathematical Sciences, University of Montana, Missoula, MT, 59812, USA

    Kelly McKinnie

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  1. Daniel Krashen
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  2. Kelly McKinnie
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Correspondence to Kelly McKinnie.

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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

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