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Constructing Maximal Subgroups of Classical Groups
| Content Provider | Scilit |
|---|---|
| Author | Holt, Derek F. Roney-Dougal, Colva M. |
| Copyright Year | 2005 |
| Description | Journal: LMS Journal of Computation and Mathematics The maximal subgroups of the finite classical groups are divided by a theorem of Aschbacher into nine classes. In this paper, the authors show how to construct those maximal subgroups of the finite classical groups of linear, symplectic or unitary type that lie in the first eight of these classes. The ninth class consists roughly of absolutely irreducible groups that are almost simple modulo scalars, other than classical groups over the same field in their natural representation. All of these constructions can be carried out in low-degree polynomial time. |
| Ending Page | 79 |
| Starting Page | 46 |
| ISSN | 00221295 |
| e-ISSN | 14611570 |
| DOI | 10.1112/s1461157000000899 |
| Journal | LMS Journal of Computation and Mathematics |
| Volume Number | 8 |
| Language | English |
| Publisher | Wiley-Blackwell |
| Publisher Date | 2005-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: LMS Journal of Computation and Mathematics Maximal Subgroups |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physiology |