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＜電子ブック＞
Algebraic design theory / Warwick De Launey, Dane Flannery
(Mathematical surveys and monographs ; no. 175)

出版者	Providence, R.I : American Mathematical Society
出版年	c2011
大きさ	1 online resource (x, 298 p.)
著者標目	*De Launey, Warwick 1958- Flannery, D. L 1965-
件　名	LCSH:Combinatorial designs and configurations FREE:Combinatorics -- Research exposition (monographs, survey articles)  全ての件名で検索 FREE:Combinatorics -- Designs and configurations -- Designs and configurations  全ての件名で検索 FREE:Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures  全ての件名で検索 FREE:Associative rings and algebras -- General and miscellaneous -- None of the above, but in this section  全ての件名で検索 FREE:Group theory and generalizations -- Abstract finite groups -- Abstract finite groups  全ての件名で検索 FREE:Combinatorics -- Explicit machine computation and programs (not the theory of computation or programming)  全ての件名で検索 FREE:Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Matrix equations and identities  全ての件名で検索 FREE:Associative rings and algebras -- Rings and algebras arising under various constructions -- None of the above, but in this section  全ての件名で検索 FREE:Group theory and generalizations -- Permutation groups -- Multiply transitive finite groups  全ての件名で検索 FREE:Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups  全ての件名で検索
内容注記	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
一般注記	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

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