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arXiv · 1707.05486

New necessary conditions for the existence of finite non-Desarguesian flag-transitive projective plane

Binzhou Xia
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Abstract

This paper studies the existence of finite non-Desarguesian flag-transitive projective plane, giving necessary conditions in terms of polynomial equations over finite fields of characteristic $3$. This sheds light on the longstanding conjecture that every finite flag-transitive projective plane is Desarguesian.

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Binzhou Xia. 2023-01-11. New necessary conditions for the existence of finite non-Desarguesian flag-transitive projective plane. https://arxiv.org/abs/1707.05486

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