Distinguishing division algebras by finite splitting fields

Details Distinguishing division algebras by finite splitting fields Distinguishing division algebras by finite splitting fields

2010-01-20

arxiv.org/abs/1001.3685v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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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