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9780521211604

Parallelisms of Complete Designs

by
  • ISBN13:

    9780521211604

  • ISBN10:

    0521211603

  • Format: Paperback
  • Copyright: 1976-08-27
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time.

Table of Contents

The existence theorem
The parallelogram property
Steiner points and Veblen points
Minimal edge-colourings of complete graphs
Biplanes and metric regularity
Automorphism groups
Resolutions and partition systems
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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