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math.RA2015
On the size of the genus of a division algebra
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
Let D be a central division algebra of degree n over a field K. One defines the genus gen(D) of D as the set of classes [D'] in the Brauer group Br(K) of K represented by central d…
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…