Foundations of Translation Planes

AvMauro Biliotti,Vikram Jha

Inbunden, Engelska, 2001

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2001-07-13
Mått:152 x 229 x undefined mm
Vikt:816 g
Format:Inbunden
Språk:Engelska
Serie:Chapman & Hall/CRC Pure and Applied Mathematics
Antal sidor:566
Förlag:Taylor & Francis Inc
ISBN:9780824706098

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

Mauro Biliotti, Vikram Jha, Norman Johnson

Innehållsförteckning

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)