Subplane Covered Nets
Seiten
2000
Crc Press Inc (Verlag)
978-0-8247-9008-0 (ISBN)
Crc Press Inc (Verlag)
978-0-8247-9008-0 (ISBN)
Confronts the question of geometric processes of derivation, specifically the derivation of affine planes. This work provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.
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.
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.
Norman L. Johnson
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.
Erscheint lt. Verlag | 3.1.2000 |
---|---|
Reihe/Serie | Chapman & Hall/CRC Pure and Applied Mathematics |
Verlagsort | Bosa Roca |
Sprache | englisch |
Maße | 210 x 280 mm |
Gewicht | 680 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
ISBN-10 | 0-8247-9008-1 / 0824790081 |
ISBN-13 | 978-0-8247-9008-0 / 9780824790080 |
Zustand | Neuware |
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