A description of collineations-groups of an affine plane

Orgest Zaka


Based on the literature by following very interesting work in the
past [2], [3], [4], [9], [12] In this article becomes a description of collineations in the affine plane [10]. We are focusing at the description of translations and dilatations, and we make a detailed description of them. We describe the translation group and dilatation group in affine plane [11]. A detailed description we have given also for traces of a dilatation. We have proved that translation group is a normal subgroup of the group of dilatations, wherein the translation group is a commutative group and the dilatation group is just a group. We think that in this article have brings about an innovation in the treatment of detailed algebraic structures in affine plane.


Affine plane, collineations, translation, dilatation, trace of points, dilatation group.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v37i2.1351