Quasi symmetric Designs

Author: Mohan S. Shrikhande
Publisher: Cambridge University Press
ISBN: 9780521414074
Format: PDF, ePub, Mobi
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Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.

Codes Designs and Geometry

Author: Vladimir Tonchev
Publisher: Springer Science & Business Media
ISBN: 1461314232
Format: PDF, ePub
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Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field.

Association Schemes

Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 9781139449939
Format: PDF
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Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.

Surveys in Combinatorics 1997

Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 9780521598408
Format: PDF, Docs
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The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.

Permutation Groups and Cartesian Decompositions

Author: Cheryl E. Praeger
Publisher: Cambridge University Press
ISBN: 110862023X
Format: PDF, Kindle
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Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.