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Parallelisms of Complete Designs : Cambridge Commonwealth Series - Peter J. Cameron

Parallelisms of Complete Designs

Cambridge Commonwealth Series

Paperback Published: 9th August 1976
ISBN: 9780521211604
Number Of Pages: 152

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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.

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.

ISBN: 9780521211604
ISBN-10: 0521211603
Series: Cambridge Commonwealth Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 152
Published: 9th August 1976
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 0.89
Weight (kg): 0.23