---

＜E-Book＞
Algebraic design theory / Warwick De Launey, Dane Flannery
(Mathematical surveys and monographs ; no. 175)

Publisher	Providence, R.I : American Mathematical Society
Year	c2011
Size	1 online resource (x, 298 p.)
Authors	*De Launey, Warwick 1958- Flannery, D. L 1965-
Subjects	LCSH:Combinatorial designs and configurations FREE:Combinatorics -- Research exposition (monographs, survey articles)  All Subject Search FREE:Combinatorics -- Designs and configurations -- Designs and configurations  All Subject Search FREE:Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures  All Subject Search FREE:Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section  All Subject Search FREE:Group theory and generalizations -- Abstract finite groups -- Abstract finite groups  All Subject Search FREE:Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming)  All Subject Search FREE:Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities  All Subject Search FREE:Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section  All Subject Search FREE:Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups  All Subject Search FREE:Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups  All Subject Search
Contents	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
Notes	Includes bibliographical references (p. 287-293) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/175 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/175 Information=Contents

 Similar Items