Abstract
In 1962 Steinberg gave pairs of generators for all finite simple groups of Lie type. In this paper, for each finite orthogonal group we provide a pair of matrices which generate its derived group: the matrices correspond to Steinberg's generators modulo the centre. These generators have been implemented in the computer algebra system MAGMA and this completes the provision of pairs of generators in MAGMA for all (perfect) finite classical groups.
| Original language | English |
|---|---|
| Pages (from-to) | 351-360 |
| Number of pages | 10 |
| Journal | Journal of Symbolic Computation |
| Volume | 25 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1998 |
| Externally published | Yes |
Fingerprint
Dive into the research topics of 'Matrix generators for the orthogonal groups'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver