The group algebras kQ2n of the generalized quaternion groups Q2n over fields k which contain F2n-2 are deformed to separable k..t//-algebras ŒkQ2n]t. The dimensions of the simple components of k..t// ☉k..t// ŒkQ2n]t over the algebraic closure k..t//, and those of CQ2n over C are the same, yielding strong solutions of the Donald–Flanigan conjecture for the generalized quaternion groups.
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ASJC Scopus subject areas
- Algebra and Number Theory