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Black box classical groups
About this Title
William M. Kantor and Ákos Seress
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 149, Number 708
ISBNs: 978-0-8218-2619-5 (print); 978-1-4704-0299-0 (online)
DOI: https://doi.org/10.1090/memo/0708
MathSciNet review: 1804385
MSC: Primary 68Q25; Secondary 20G40, 68W30
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries
- 3. Special linear groups: PSL($d, q$)
- 4. Orthogonal groups: $P\Omega ^\epsilon (d, q)$
- 5. Symplectic groups: $\mathrm {PSp}(2m, q)$
- 6. Unitary groups: $\mathrm {PSU}(d, q)$
- 7. Proofs of Theorems 1.1 and 1.1′, and of Corollaries 1.2–1.4
- 8. Permutation group algorithms
- 9. Concluding remarks