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Biliotti / Jha / Johnson

Foundations of Translation Planes

Medium: Buch
ISBN: 978-0-8247-0609-8
Verlag: CRC Press
Erscheinungstermin: 13.07.2001
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9780824706098
  • Medium: Buch
  • ISBN: 978-0-8247-0609-8
  • Verlag: CRC Press
  • Erscheinungstermin: 13.07.2001
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2001
  • Serie: Chapman & Hall/CRC Pure and Applied Mathematics
  • Produktform: Gebunden
  • Gewicht: 816 g
  • Seiten: 566
  • Format (B x H x T): 216 x 279 x 31 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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)