Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

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