Minimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a finite field are studied. All such orthogonal groups are shown to be generated by two elements, with the possible exception of two low-dimensional cases. 1994 Academic Press, Inc.
Remarks on the Generation of Orthogonal Groups over Finite Fields
β Scribed by A.G. Earnest; R.A. Catalpa; U.S. Schmidt; G.T. Stewart
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 256 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we study the Newton polygon of the __L__ βpolynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ β 1,β__y__^3^ = __x__^4^ β __x__ defined over a finite field π½~__p__~ . In the former case we get a complete classification. In the latter case we obtai
It is demonstrated that the generating rank of the dual polar space of type U 2n (q 2 ) is 2n n when q > 2. It is also shown that this is equal to the embedding rank of this geometry.
It is demonstrated that the dual polar space of type Sp 2n (q), q>2, can be generated as a geometry by ( 2n n )&( 2n n&2 ) points. 1998 Academic Press ## 1. Introduction We assume the reader is familiar with the basic definitions relating to undirected graphs and linear incidence system or point-