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Computing in Nilpotent Matrix Groups
| Content Provider | Scilit |
|---|---|
| Author | Detinko, A. S. Flannery, D. L. |
| Copyright Year | 2006 |
| Description | Journal: LMS Journal of Computation and Mathematics We present algorithms for testing nilpotency of matrix groups over finite fields, and for deciding irreducibility and primitivity of nilpotent matrix groups. The algorithms also construct modules and imprimitivity systems for nilpotent groups. In order to justify our algorithms, we prove several structural results for nilpotent linear groups, and computational and theoretical results for abstract nil-potent groups, which are of independent interest. |
| Ending Page | 134 |
| Starting Page | 104 |
| ISSN | 00221295 |
| e-ISSN | 14611570 |
| DOI | 10.1112/s1461157000001212 |
| Journal | LMS Journal of Computation and Mathematics |
| Volume Number | 9 |
| Language | English |
| Publisher | Wiley-Blackwell |
| Publisher Date | 2006-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: LMS Journal of Computation and Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physiology |