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Algebraic Design Theory
About this Title
Warwick de Launey and Dane Flannery, National University of Ireland, Galway, Ireland
Publication: Mathematical Surveys and Monographs
Publication Year:
2011; Volume 175
ISBNs: 978-0-8218-4496-0 (print); 978-1-4704-1402-3 (online)
DOI: https://doi.org/10.1090/surv/175
MathSciNet review: 2815992
MSC: Primary 05-02; Secondary 05B05, 05B20, 15B34
Table of Contents
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Front/Back Matter
Chapters
- 1. Overview
- 2. Many kinds of pairwise combinatorial designs
- 3. A primer for algebraic design theory
- 4. Orthogonality
- 5. Modeling $\Lambda$-equivalence
- 6. The Grammian
- 7. Transposability
- 8. New designs from old
- 9. Automorphism groups
- 10. Group development and regular actions on arrays
- 11. Origins of cocyclic development
- 12. Group extensions and cocycles
- 13. Cocyclic pairwise combinatorial designs
- 14. Centrally regular actions
- 15. Cocyclic associates
- 16. Special classes of cocyclic designs
- 17. The Paley matrices
- 18. A large family of cocyclic Hadamard matrices
- 19. Substitution schemes for cocyclic Hadamard matrices
- 20. Calculating cocyclic development rules
- 21. Cocyclic Hadamard matrices indexed by elementary abelian groups
- 22. Cocyclic concordant systems of orthogonal designs
- 23. Asymptotic existence of cocyclic Hadamard matrices