{"product_id":"parallelisms-of-complete-designs-paperback-9780521211604","title":"Parallelisms of Complete Designs (Paperback) 9780521211604","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eParallelisms of Complete Designs\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThese notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePeter J. Cameron (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521211604, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 10 June 1976\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e152 pages\u003cbr\u003e22.9 x 15.2 x 1 cm, 0.234 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThese 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. The existence theorem\u003cbr\u003e Appendix: the integrity theorem for network flows\u003cbr\u003e 2. The parallelogram property\u003cbr\u003e Appendix: the binary perfect code theorem\u003cbr\u003e Appendix: association schemes and metrically regular graphs\u003cbr\u003e 3. Steiner points and Veblen points\u003cbr\u003e Appendix: Steiner systems\u003cbr\u003e 4. Minimal edge-colourings of complete graphs\u003cbr\u003e Appendix: latin squares, SDRs and permanents\u003cbr\u003e 5. Biplanes and metric regularity\u003cbr\u003e Appendix: symmetric designs\u003cbr\u003e 6. Automorphism groups\u003cbr\u003e Appendix: multiply transitive groups\u003cbr\u003e 7. Resolutions and partition systems\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006942925080,"sku":"9780521211604","price":44.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521211604i_cbf22027-8184-4d93-8f5b-1567004a2b37.jpg?v=1691373977","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/parallelisms-of-complete-designs-paperback-9780521211604","provider":"Freshly Printed Books","version":"1.0","type":"link"}