Central Automorphisms of Veblenian Nearaffine Planes

Kinga Cudna-Lasecka; Jan Jakóbowski

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 3, page 337-347
  • ISSN: 0239-7269

Abstract

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The paper deals with nearaffine planes described by H. A. Wilbrink. We consider their central automorphisms, i.e. automorphisms satisfying the Veblen condition, which become central collineations in connected projective planes. Moreover, a concept of central pseudo-automorphism is considered, i.e. some bijections in a nearaffine plane are not automorphisms but they become central collineations in the related projective planes.

How to cite

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Kinga Cudna-Lasecka, and Jan Jakóbowski. "Central Automorphisms of Veblenian Nearaffine Planes." Bulletin of the Polish Academy of Sciences. Mathematics 53.3 (2005): 337-347. <http://eudml.org/doc/281013>.

@article{KingaCudna2005,
abstract = {The paper deals with nearaffine planes described by H. A. Wilbrink. We consider their central automorphisms, i.e. automorphisms satisfying the Veblen condition, which become central collineations in connected projective planes. Moreover, a concept of central pseudo-automorphism is considered, i.e. some bijections in a nearaffine plane are not automorphisms but they become central collineations in the related projective planes.},
author = {Kinga Cudna-Lasecka, Jan Jakóbowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {nearaffine plane; Veblen condition; Desargues' axiom; central automorphism},
language = {eng},
number = {3},
pages = {337-347},
title = {Central Automorphisms of Veblenian Nearaffine Planes},
url = {http://eudml.org/doc/281013},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Kinga Cudna-Lasecka
AU - Jan Jakóbowski
TI - Central Automorphisms of Veblenian Nearaffine Planes
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 3
SP - 337
EP - 347
AB - The paper deals with nearaffine planes described by H. A. Wilbrink. We consider their central automorphisms, i.e. automorphisms satisfying the Veblen condition, which become central collineations in connected projective planes. Moreover, a concept of central pseudo-automorphism is considered, i.e. some bijections in a nearaffine plane are not automorphisms but they become central collineations in the related projective planes.
LA - eng
KW - nearaffine plane; Veblen condition; Desargues' axiom; central automorphism
UR - http://eudml.org/doc/281013
ER -

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