Matrix forms for isometries of the affine plane $AG(2, q)$ and of the corresponding Miquelian Mobius plane

Authors

  • Sunˇcica Blaˇzev
  • Vlado Cigi´c

DOI:

https://doi.org/10.1285/i15900932v28n2p175

Keywords:

finite affine plane, Miquelian M¨obius plane, squared length, squared distance, isometry

Abstract

We give the matrix form for the isometries of $AG(2, q)$ and the corresponding Miquelian Mobius plane depending on the choice of an irreducible polynomial of second degree over $GF(q)$. In particular we provide the above matrix form for the automorphisms of these planes preserving the set of the affine ellipses of $AG(2,q)$.

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Published

03-03-2010

Issue

Volume 28, Issue 2 (2008)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode