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arXiv · 1001.3685

Distinguishing division algebras by finite splitting fields

Daniel Krashen·Kelly McKinnie
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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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Daniel Krashen, Kelly McKinnie. 2010-01-20. Distinguishing division algebras by finite splitting fields. https://arxiv.org/abs/1001.3685

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