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SOLVABLE CROSSED PRODUCT ALGEBRAS REVISITED

SOLVABLE CROSSED PRODUCT ALGEBRAS REVISITED

For any central simple algebra over a field F which contains a maximal subfield M with non-trivial F-automorphism group G, G is solvable if and only if the algebra contains a finite chain of subalgebras which are generalized cyclic algebras over their centers (field extensions of F) satisfying certain conditions. …