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

Foundations of Translation Planes

Inbunden, Engelska, 2001

AvMauro Biliotti,Vikram Jha,Norman Johnson

4 319 kr

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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

Utgivningsdatum2001-07-13
Mått152 x 229 x undefined mm
Vikt816 g
FormatInbunden
SpråkEngelska
SerieChapman & Hall/CRC Pure and Applied Mathematics
Antal sidor566
FörlagTaylor & Francis Inc
ISBN9780824706098

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

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)