Buch, Englisch, 388 Seiten, Format (B × H): 216 mm x 279 mm, Gewicht: 680 g
Buch, Englisch, 388 Seiten, Format (B × H): 216 mm x 279 mm, Gewicht: 680 g
Reihe: Chapman & Hall/CRC Pure and Applied Mathematics
ISBN: 978-0-8247-9008-0
Verlag: CRC Press
This work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.
Autoren/Hrsg.
Weitere Infos & Material
A brief overview; projective geometries; beginning derivation; spreads; derivable nets; the Hughes planes; Desarguesian planes; Pappian planes; characterizations of geometries; derivable nets and geometries; structure theory for derivable nets; dual spreads and Baer subplanes; derivation as a geometric process; embedding; classification of subplane covered nets; subplane covered affine planes; direct products; parallelisms; partial parallelisms with deficiency; Baer extensions; translation planes admitting Baer groups; spreads covered by pseudo-Reguli; conical and ruled planes over fields; spreads which are dual spreads; partial flocks of deficiency one; Skew-Hall planes.
