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Foundations of Translation Planes de Mauro Biliotti

Foundations of Translation Planes: Chapman & Hall/CRC Pure and Applied Mathematics

Autor Mauro Biliotti, Vikram Jha, Norman Johnson
en Limba Engleză Hardback – 13 iul 2001
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
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Specificații

ISBN-13: 9780824706098
ISBN-10: 0824706099
Pagini: 566
Dimensiuni: 152 x 229 x 31 mm
Greutate: 0.82 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Chapman & Hall/CRC Pure and Applied Mathematics

Public țintă

Professional

Cuprins

Andre's theory of spreads; spreads in PG(3,K); partial spreads and translation nets; spreadsheets and partial spreadsets; geometry of spreadsets; co-ordinatization by spreadsets - general cases; partial quasifields; co-ordinatization by (partial) quasifields; rational desarguesian nets; quasigroups, loops and nuclei; (pre)quasifields -algebraic axioms and autopisms; the kernel of spreadsets and quasifields; quadratics of two dimensional quasifields - Hall systems; spreads in projective spaces; kernel subplanes across Desarguesian nets; derivation of finite spreads; Foulser's covering theorem; structure of Baer groups; Frobenius complements, p-primitive collineations, and Klein-4 groups; large planar groups; finite generalized Andre systems and nearfields; elation net theory; Baer-elation theory; semifields. (Part contents)

Notă biografică

Mauro Biliotti, Vikram Jha, Norman Johnson

Descriere

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.