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On Representations of the Suzuki Groups Over Fields of Odd Characteristic

โœ Scribed by Martineau, R. P.

Book ID
120097652
Publisher
Oxford University Press
Year
1972
Tongue
English
Weight
187 KB
Volume
s2-6
Category
Article
ISSN
0024-6107

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In this paper we prove that the projective orthogonal groups over finite fields of odd characteristic acting on the set of points of the corresponding quadrics, have regular orbits apart from a finite number of explicitly listed exceptions occurring in dimension 2 and 3. \*Lavoro eseguito nell'ambit

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Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V โˆผ = iโˆˆI V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.