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

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.

preprint2023arXivOpen access
Binzhou Xia
math.CO
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Binzhou Xia

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