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Abstrakty
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.
Wydawca
Rocznik
Tom
Strony
337--347
Opis fizyczny
Bibliogr. 5 poz., wykr.
Twórcy
autor
- Faculty of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, Żołnierska 14, 10-561 Olsztyn, Poland
autor
- Faculty of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, Żołnierska 14, 10-561 Olsztyn, Poland
Bibliografia
- [1] J. André, On finite non-commutative affine spaces, in M. Hall and J. H. von Lint (eds.), Combinatorics, Part I, Math. Centre Tracts 55, 1974, 60-107.
- [2] P. Dembowski, Finite Geometries, Springer, Berlin, 1968.
- [3] J. Jakóbowski, Nearaffine planes related to pseudo-ordered fields, Bull. Polish Acad. Sci. Math. 50 (2002), 345-360.
- [4] G. Pickert, Projektive Ebenen, Springer, Berlin, 1955.
- [5] H. A. Wilbrink, Nearaffine planes, Geom. Dedicata 12 (1982), 53-62.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0008-0032