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Finite groups with an irreducible representation of large degree

✍ Scribed by Frank R. DeMeyer; Gerald J. Janusz


Publisher
Springer-Verlag
Year
1969
Tongue
French
Weight
607 KB
Volume
108
Category
Article
ISSN
0025-5874

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This paper contains an irredundant listing of the finite irreducible monomial Ε½ . subgroups of GL 4, ‫ރ‬ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.

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Let V be a finite dimensional vector space over a field K of characteristic / 2, and b: V = V Βͺ K a non-degenerate symmetric bilinear form. Ε½ . Let : G Βͺ O b be an orthogonal representation of the finite group G. Unless mentioned otherwise, we assume throughout that is absolutely irreducible as a l