Chevalley groups of odd characteristic as quadratic pairs
โ Scribed by C.Y Ho
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 456 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this work we investigate finite groups of Lie type in which no subgroup chain of greatest length contains a parabolic subgroup. For Lie type groups of odd characteristic \(p, p \leq 29\), we determine a complete list of such groups. c 1994 Academic Press, Inc.
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.