Combinatorial Designs and Groups

Abstract

Construction of designs by assuming a certain automorphism group is a powerful method first developed extensively by R. C. Bose. Recently the symmetric designs with v = 56, k = 11, lambda = 2 and v = 79, k = 13, lambda = 2 have been constructed by such methods. Examples of this method, including these two are given in section 2. Section 3 studies groups generated by a class C of elements of order 3 in which any two non-commuting elements generate SL(2,3). Here the four groups of order 3 in SL(2,3) may be considered a block of 4 points, and the study of such groups may be related to designs with k = 4, lambda = 1.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0737391

Entities

People

  • Marshall Hall Jr.

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • California
  • Classification
  • Collapse
  • Computers
  • Constrictions
  • Construction
  • Contracts
  • Elimination
  • Generators
  • Mathematics
  • Permutations
  • Personality
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Computer Science.
  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.