MATRIX GENERATORS FOR THE ORTHOGONAL GROUPS

Authors
RYLANDS LJ TAYLOR DE
Citation
Lj. Rylands et De. Taylor, MATRIX GENERATORS FOR THE ORTHOGONAL GROUPS, Journal of symbolic computation, 25(3), 1998, pp. 351-360
Citations number
13
Categorie Soggetti
Mathematics,"Computer Science Theory & Methods",Mathematics,"Computer Science Theory & Methods
Journal title
Journal of symbolic computation → ACNP
ISSN journal
07477171
Volume
25
Issue
3
Year of publication
1998
Pages
351 - 360
Database
ISI
SICI code
0747-7171(1998)25:3<351:MGFTOG>2.0.ZU;2-7
Abstract
In 1962 Steinberg gave pairs of generators for all finite simple group s of Lie type. In this paper, for each finite orthogonal group we prov ide a pair of matrices which generate its derived group: the matrices correspond to Steinberg's generators module the centre. These generato rs have been implemented in the computer algebra system MAGMA and this completes the provision of pairs of generators in MAGMA for all (perf ect) finite classical groups. (C) 1998 Academic Press Limited.