On division algebras having the same maximal subfields

2009/10/18 by Rapinchuk, A. S., Rapinchuk, I. A.
#16K50 #20G15 #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0910.3368

Abstract

We address the problem of when two finite dimensional central division algebras over the same field are necessarily isomorphic given that they have the same maximal subfields.

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