Generating triples of involutions for lie-type groups over a finite field of odd characteristic. II
โ Scribed by Ya. N. Nuzhin
- Publisher
- Springer US
- Year
- 1997
- Tongue
- English
- Weight
- 655 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0002-5232
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๐ SIMILAR VOLUMES
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
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 โผ = iโI 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.
We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).