Buch, Englisch, Band 23, 152 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 231 g
Buch, Englisch, Band 23, 152 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 231 g
Reihe: London Mathematical Society Lecture Note Series
ISBN: 978-0-521-21160-4
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Weitere Infos & Material
Introduction; 1. The existence theorem; Appendix: the integrity theorem for network flows; 2. The parallelogram property; Appendix: the binary perfect code theorem; Appendix: association schemes and metrically regular graphs; 3. Steiner points and Veblen points; Appendix: Steiner systems; 4. Minimal edge-colourings of complete graphs; Appendix: latin squares, SDRs and permanents; 5. Biplanes and metric regularity; Appendix: symmetric designs; 6. Automorphism groups; Appendix: multiply transitive groups; 7. Resolutions and partition systems; Bibliography; Index.
