On irreducible, infinite, nonaffine Coxeter groups

Dongwen Qi

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Displaying similar documents to “On irreducible, infinite, nonaffine Coxeter groups”

Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character

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In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.

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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.

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