Matrix forms for isometries of the affine plane 
and of the corresponding Miquelian Mobius plane
Abstract
We give the matrix form for the isometries of and the corresponding Miquelian Mobius plane depending on the choice of an irreducible polynomial of second degree over 
. In particular we provide the above matrix form for the automorphisms of these planes preserving the set of the affine ellipses of 
.
and the corresponding Miquelian Mobius plane depending on the choice of an irreducible polynomial of second degree over . In particular we provide the above matrix form for the automorphisms of these planes preserving the set of the affine ellipses of .DOI Code:
10.1285/i15900932v28n2p175
Keywords:
finite affine plane; Miquelian M¨obius plane; squared length; squared distance; isometry
Classification:
05B25
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