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Construction of two-dimensional flag-transitive planes

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Abstract

An affine plane is called flag-transitive if it admits a collineation group which acts transitively on the incident point-line pairs. It has been shown that finite flag-transitive planes are necessarily translation planes, and much work has been devoted to this class of translation planes in recent years. All flag-transitive groups of finite affine planes have been determined, and an infinite family of non-Desarguesian flag-transitive planes has been found. In this paper a method is given for constructing all two-dimensional flag-transitive planes of odd order, subsuming the infinite family mentioned above.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, 19716, Newark, DE, USA

    R. D. Baker & G. L. Ebert

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  1. R. D. Baker
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  2. G. L. Ebert
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Baker, R.D., Ebert, G.L. Construction of two-dimensional flag-transitive planes. Geom Dedicata 27, 9–14 (1988). https://doi.org/10.1007/BF00181610

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  • DOI: https://doi.org/10.1007/BF00181610

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