TY - BOOK AU - Cameron,Peter J. TI - Parallelisms of Complete Designs T2 - London Mathematical Society Lecture Note Series SN - 9780511662102 (ebook) AV - QA164 .C35 U1 - 516/.13 n/a PY - 1976/// CY - Cambridge PB - Cambridge University Press KW - Combinatorial designs and configurations KW - Permutation groups KW - Parallels (Geometry) N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015) N2 - 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 UR - http://dx.doi.org/10.1017/CBO9780511662102 ER -