Distinguishing division algebras by finite splitting fields

Daniel Krashen; Kelly McKinnie

doi:10.1007/s00229-010-0390-0

Distinguishing division algebras by finite splitting fields

Daniel Krashen, Kelly McKinnie

Mathematical Sciences

University of Georgia

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	171-182
Number of pages	12
Journal	Manuscripta Mathematica
Volume	134
Issue number	1
DOIs	https://doi.org/10.1007/s00229-010-0390-0
State	Published - Jan 2011

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Distinguishing division algebras by finite splitting fields

Abstract

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