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Designs, Codes and Cryptography

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31-10-2016

Collineations of finite 2-affine planes

Author: Günter F. Steinke

Published in: Designs, Codes and Cryptography | Issue 1/2017

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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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Title: Collineations of finite 2-affine planes
Author: Günter F. Steinke
Publication date: 31-10-2016
Publisher: Springer US
Published in: Designs, Codes and Cryptography / Issue 1/2017
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-016-0292-6

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Collineations of finite 2-affine planes

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