Combinatorics of Spreads and Parallelisms covers all known finite and infinite parallelisms as well as the planes comprising them. It also presents a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry partitions of projective spaces. The book describes general partitions of finite and infinite vector spaces, including Sperner spaces, focalspreads, and their associated geometries. Since retraction groups provide quasisubgeometry and subgeometry partitions of projective spaces, the author thoroughly discusses subgeometry partitions and their construction methods. He also features focalspreads as partitions of vector spaces by subspaces. In addition to presenting many new examples of finite and infinite parallelisms, the book shows that doubly transitive or transitive tparallelisms cannot exist unless the parallelism is a line parallelism. Along with the authors other three books (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes), this text forms a solid, comprehensive account of the complete theory of the geometries that are connected with translation planes in intricate ways. It explores how to construct interesting parallelisms and how general spreads of vector spaces are used to study and construct subgeometry partitions of projective spaces.

Binding: Hardcover;674 pages; Publisher: Taylor & Francis Ltd (Sales); Classification: PBD; Weight: 1530 g; Dimensions: 234 x 156

Something not quite right? You have 21 days from the day you receive it, to send something back.

Please note, we cannot offer refunds on fashion face masks, cosmetics, pierced jewellery, adult toys, and swimwear or lingerie if the hygiene seal is not in place or has been broken.

Items of footwear and/or clothing must be unworn and unwashed with the original labels attached. Also, footwear must be tried on indoors. Items of homeware including bedlinen, mattresses, and toppers, and pillows must be unused and in their original unopened packaging. This does not affect your statutory rights.

Click here to view our full Returns Policy.