Distinguishing division algebras by finite splitting fields
classification
🧮 math.RA
keywords
fieldsalgebrasdivisionfinitesplittingablecentralcertain
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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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