Geodesic
The Double Tangency Symmetries in Laguerre Plane
Jaros/law Kosiorek 1   ; Andrzej Matraś 1
1 Department of Mathematics and Informatics UWM Olsztyn Żo/lnierska 14 10-561 Olsztyn, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 2, pp. 123-137 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The group generated by double tangency symmetries in a Laguerre plane is investigated. The geometric classification of involutions of a symmetric Laguerre plane is given. We introduce the notion of projective automorphisms using the double tangency and parallel perspectivities. We give the description of the groups of projective automorphisms and automorphisms generated by double tangency symmetries as subgroups of the group $\textbf M(\mathbb{F},\mathbb{R})$ of automorphisms of a chain geometry ${\mit\Sigma}(\mathbb{F},\mathbb{R})$ following Benz.
DOI : 10.4064/ba55-2-3
Keywords: group generated double tangency symmetries laguerre plane investigated geometric classification involutions symmetric laguerre plane given introduce notion projective automorphisms using double tangency parallel perspectivities description groups projective automorphisms automorphisms generated double tangency symmetries subgroups group textbf mathbb mathbb automorphisms chain geometry mit sigma mathbb mathbb following benz

Jaros/law Kosiorek  1   ; Andrzej Matraś  1

1 Department of Mathematics and Informatics UWM Olsztyn Żo/lnierska 14 10-561 Olsztyn, Poland 
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Jaros/law Kosiorek; Andrzej Matraś. The Double Tangency Symmetries in Laguerre Plane. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 2, pp. 123-137. doi: 10.4064/ba55-2-3

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