The collineations which act as addition and multiplication on points in a certain class of projective Klingenberg planes


ÇELİK B. , DAYIOĞLU A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-193
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

Let be the projective Klingenberg plane coordinated by the dual quaternion ring where Q is any quaternion ring. In this paper, we determine the addition and multiplication of the points on the line of as the image of some collineations of the plane . To do this, we give the collineations and . Later we show that the addition and multiplication of the nonneighbor points on the line can be obtained as the images under that and .