Foundations of Translation Planes

AvMauro Biliotti,Vikram Jha

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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 str

Produktinformation

Utgivningsdatum:2001-07-13
Språk:Engelska
Filformat:PDF
Kopieringsskydd:LCP
ISBN:9781482271003
Förlag:Taylor & Francis Ltd
Serie:Chapman & Hall/CRC Pure and Applied Mathematics

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Grupper och gruppteori 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)