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  3. Symmetric Designs
  • Cited by 159
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    • Publisher:
      Cambridge University Press
      Publication date:
      March 2010
      January 1983
      ISBN:
      9780511662164
      9780521286930
      DOI:
      https://doi.org/10.1017/CBO9780511662164
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.475kg, 320 Pages
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
      Series:
      London Mathematical Society Lecture Note Series (74)
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Lecture Note Series (74)
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    Book description

    Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs – including methods inspired by the algebraic theory of coding and by the representation theory of finite groups – and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

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