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Showing 1 to 4 of 4 for “"Clifford theory"”.
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Generalized Clifford Theory (Group Ring, Frobenius Extensions)
Let R and S be two rings with identity elements and let l : R (--->) S be a ring homomorphism preserving their identity elements. Then any S-module W can be regarded as an R-module W(,R). Also, for any right R-module V, we can form the "induced" S-Module V('S) = V (CRTIMES)(,R) S. Fixing a right …
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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
… by Bernd Fischer, the so–called Fischer–Clifford matrices method, which derives its fundamentals from the Clifford theory. We consider only extensions G of the normal subgroup K by the subgroup Q with the property that every irreducible character of K can be extended to an irreducible …
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Character tables of some groups of extension type
… case for which Bernd Fischer developed the theory of Fischer matrices based on the Clifford Theory, to calculate the character tables for both split and non-split extensions.
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Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie
… of the triality groups are determined. Then, by Clifford theory, the generic character table of a maximal parabolic subgroup and a large part of the generic character table of another maximal parabolic subgroup are computed. In 1990, M. Geck has determined the decomposition numbers of Steinberg's …