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math.RA2015★ 12 cited
Division algebras with the same maximal subfields
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
We give a survey of recent results related to the problem of characterizing finite-dimensional division algebras by the set of isomorphism classes of their maximal subfields. We al…
math.RA2009★ 2 cited
On division algebras having the same maximal subfields
A. S. Rapinchuk, I. A. Rapinchuk
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.