Combinatorics of Spreads and Parallelisms

Informationen zum Autor Norman L. Johnson is a professor in the Department of Mathematics at the University of Iowa. Klappentext "Combinatorics of Spreads and Parallelisms" covers all known finite and infinite parallelisms as well as the planes comprising them, presenting a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry partitions of projective spaces. Zusammenfassung Finite geometry is an important, wide-ranging research area in mathematics with strong connections to algebra and combinatorics. This book introduces parallelisms and spreads. It covers topics such as partial spreads, spreadsets, quasifields, collineations, automorphisms and autotopisms. Inhaltsverzeichnis Partitions of Vector Spaces. Subgeometry Partitions. Subplane Covered Nets and Baer Groups. Flocks and Related Geometries. Derivable Geometries. Constructions of Parallelisms. Parallelism-Inducing Groups. Coset Switching. Transitivity. Appendices. Bibliography. Index.

Product details

• Authors: Norman Johnson, Norman (University of Iowa Johnson, Norman L. Johnson
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 03.06.2010
• EAN: 9781439819463
• ISBN: 978-1-4398-1946-3
• No. of pages: 674
• Series: Pure and Applied Mathematics; Chapman & Hall Pure and Applied Mathematics; Chapman & Hall Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Algebra, MATHEMATICS / General, MATHEMATICS / Geometry / General, MATHEMATICS / Algebra / General, MATHEMATICS / Combinatorics, geometry, Discrete Mathematics, Combinatorics & graph theory, Combinatorics and graph theory