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  3. Geometry, Combinatorial Designs and Related Structures
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  • Publisher:
    Cambridge University Press
    Publication date:
    November 2009
    August 1997
    ISBN:
    9780511526114
    9780521595384
    DOI:
    https://doi.org/10.1017/CBO9780511526114
    Dimensions:
    Weight & Pages:
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.375kg, 268 Pages
    • Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (245)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (245)
    Information

    Book description

    This volume presents up-to-date research on finite geometries and designs, a key area in modern applicable mathematics. An introductory chapter discusses topics presented in each of the main chapters, and is followed by articles from leading international figures in this field. These include a discussion of the current state of finite geometry from a group-theoretical viewpoint, and surveys of difference sets and of small embeddings of partial cycle systems into Steiner triple systems. Also presented are successful searches for spreads and packing of designs, rank three geometries with simplicial residues and generalized quadrangles satisfying Veblen's Axiom. In addition, there are articles on new 7-designs, biplanes, various aspects of triple systems, and many other topics. This book will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.

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