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Generalized
quadrangles, Laguerre planes and shift planes of odd
order
Günter F. Steinke and Markus Stroppel |
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Vol. 17 (2019), No. 1, 47–52
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Abstract |
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We characterize the Miquelian Laguerre planes, and thus the classical orthogonal generalized quadrangles , of odd order by the existence of shift groups in affine derivations. |
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Keywords
generalized quadrangle, orthogonal generalized quadrangle,
antiregular translation generalized quadrangle, Laguerre
plane, Miquelian Laguerre plane, translation plane, shift
plane, shift group
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Mathematical Subject Classification 2010
Primary: 51B15, 51E12, 51E15
Secondary: 05B25, 51E25
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Milestones
Received: 11 October 2017
Revised: 20 November 2017
Accepted: 3 January 2018
Published: 19 November 2018
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Authors |
| Günter F. Steinke | |
| School of Mathematics and
Statistics University of Canterbury Christchurch New Zealand |
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| Markus Stroppel | |
| LExMath, Fakultät für Mathematik und
Physik Universität Stuttgart Stuttgart Germany |
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