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Showing 1 to 7 of 7 for “"Character tables"”.
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Character tables of some groups of extension type
… that have been developed to calculate the character tables of groups of extension type. We restrict our attention to split extensions G of the normal subgroup N of G by the subgroup G with the property that every irreducible character of N can be extended to an irreducible character of its …
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Fusion of Character Tables and Schur Rings of Dihedral Groups
… G fuses from H. In this case, the classes and characters of H can fuse to give the character table of G. We investigate the case where H is the dihedral group. In many cases, G can be completely determined. In general, G can be proven to have many interesting properties. The theory is developed …
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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
The aim of this dissertation is to calculate character tables of group extensions. There are several well–developed methods for calculating the character tables of group extensions. In this dissertation we study the method developed by Bernd Fischer, the so–called Fischer–Clifford matrices method, …
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Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie
The first part of this thesis deals with the character tables of the maximal parabolic subgroups of Steinberg's triality groups. First, an algorithm is presented, based on the Steinberg presentation, for generic computations in finite groups of Lie type and connected reductive algebraic groups. …
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Flatness of the commutator map on special linear groups
… the commutator map on special linear groups in characteristic zero. Specifically, we show that the fibers over non-central elements all have the same dimension. Also we explain that the fibers over central elements can be of larger dimension and compute how large. We use the character tables of …
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The Schurian association schemes associated with parabolic subgroups of Coxeter groups
… of their orders, ranks, commutativity, and character tables, investigate their nontrivial closed subsets, quotients and fusions, and look for possible relationships between the association schemes corresponding to various types. The data we generate leads us to make some new conjectures …
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Morita-Äquivalenzen in der algorithmischen Darstellungstheorie
… an arbitrary primitive idempotent of a linear character of the condensation subgroup. To this end we introduce the necessary algorithms theoretically and practically to treat tensor products of modules and induced modules. We furthermore investigate how the encountered generation problem can be …