Theorems on products of central collineations with distinct centers or axes applied to the Benz planes

• Autorzy: Jakóbowski J.
• Języki publikacji: EN

Abstrakty

EN

There are three kinds of the Benz planes: Mobius planes, Laguerre planes and Minkowski planes [2, 3, 7]. In any Benz plane an automorphism φ is central if φ has a fixed point P and becomes a central collineation in the projective derived plane induced by P. Such central automorphisms have been considered by many authors (cf. [8,13, 11, 12, 10]), in particular the automorphism groups were classified. Usually product of two central collineations without common center or common axis is not central. But in some special cases it is central [4]. In this paper we apply theorems concerning such special cases - to the Benz planes.

Słowa kluczowe

EN

automorphism group; central collineation; projective plane; Laguerre plane; Minkowski plane; Mobius plane

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 639--653
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Jakóbowski J.

• University of Warmia and Mazury in Olsztyn, Faculty of Mathematics and Informatics, ul. Żołnierska 14, 10-561 Olsztyn, Poland

Bibliografia

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