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Home » Books » Science » Mathematics » Applied

Subplane Covered Nets

Pure and Applied Mathematics

By Norman L. Johnson

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Format: Hardback, 388 pages
Other Information: illustrations
Published In: United States, 03 January 2000
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.

EAN: 9780824790080
ISBN: 0824790081
Publisher: Marcel Dekker Inc
Dimensions: 23.11 x 15.9 x 2.29 centimetres (0.68 kg)
Age Range: 15+ years
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