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31-10-2016 | Issue 1/2017

Designs, Codes and Cryptography 1/2017

Collineations of finite 2-affine planes

Journal:
Designs, Codes and Cryptography > Issue 1/2017
Author:
Günter F. Steinke
Important notes
Communicated by C. Mitchell.

Abstract

We investigate collineations of finite 2-affine planes and show that with the exception of some 2-affine planes of order at most 4 each collineation is induced by a collineation of its projective completion. We further deal in more detail with 2-affine planes of type II and their collineations that fix each long line.

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