Subplane Covered Nets  book cover
SAVE
$63.00
1st Edition

Subplane Covered Nets




  • This format is currently out of stock.
ISBN 9780824790080
Published January 3, 2000 by CRC Press
388 Pages

 
SAVE ~ $63.00
was $315.00
USD $252.00

Prices & shipping based on shipping country


Preview

Book Description

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.

Table of Contents

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.

...
View More