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

2017/07/18 by Binzhou Xia, Xia, Binzhou · 1 citation
Computer Science · Mathematics · #05B10 #11L05 #51E15 #Algebraic Geometry and Number Theory #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1707.05486

openalex publication_date 2017/07/18 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

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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