Combinatorics of spreads and parallelisms. (©2010)

• Record Type: Book
• Further Information: Note: Norman L. Johnson.
• Other Names: Johnson, Norman L (Norman Lloyd), 1939-
• Contents: Partitions of Vector Spaces ; Quasi-Subgeometry Partitions; Finite Focal-Spreads; Generalizing André Spreads; The Going Up Construction for Focal-Spreads Subgeometry Partitions; Subgeometry and Quasi-Subgeometry Partitions; Subgeometries from Focal-Spreads; Extended André Subgeometries; Kantor’s Flag-Transitive Designs; Maximal Additive Partial Spreads Subplane Covered Nets and Baer Groups; Partial Desarguesian t -Parallelisms; Direct Products of Affine Planes; Jha-Johnson SL (2, q ) × C -Theorem; Baer Groups of Nets; Ubiquity of Subgeometry Partitions Flocks and Related Geometries ; Spreads Covered by Pseudo-Reguli; Flocks; Regulus-Inducing Homology Groups; Hyperbolic Fibrations and Partial Flocks; j-Planes and Monomial Flocks Derivable Geometries ; Flocks of α -Cones; Parallelisms of Quadric Sets; Sharply k -Transitive Sets; Transversals to Derivable Nets; Partially Flag-Transitive Affine Planes; Special Topics on Parallelisms Constructions of Parallelisms ; Regular Parallelisms; Beutelspacher’s Construction of Line Parallelisms; Johnson Partial Parallelisms Parallelism-Inducing Groups ; Parallelism-Inducing Groups for Pappian Spreads; Linear and Nearfield Parallelism-Inducing Groups; General Parallelism-Inducing Groups Coset Switching ; Finite E -Switching; Parallelisms over Ordered Fields; General Elation Switching; Dual Parallelisms Transitivity; p -Primitive Parallelisms; Transitive t-Parallelisms; Transitive Deficiency One; Doubly Transitive Focal-Spreads Appendices ; Open Problems; Geometry Background; The Klein Quadric; Major Theorems of Finite Groups; The Diagram Bibliography Index
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2010
• Copyright Date: 2010
• Extent: 1 online resource (xxi, 651 pages), illustrations
• Subjects: 512.52 J683; Vector spaces; Algebraic spaces; Geometry, Projective; Incidence algebras; MATHEMATICS -- Algebra -- Intermediate; Algebraic spaces; Geometry, Projective; Incidence algebras; Vector spaces; Electronic books
• Languages: English
• ISBNs: 9781439819470; 1439819475
• Related ISBNs: 9781439819463; 1439819467
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.