Low rank groups of Lie type acting point and line-primitively on finite generalised quadrangles

2024/05/06 by Vishnuram Arumugam, Arumugam, Vishnuram, John Bamberg +3
Engineering · Mathematics · #20B25 (Secondary) #51E12 (Primary) #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2405.03790

openalex publication_date 2024/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose we have a finite thick generalised quadrangle whose automorphism group G acts primitively on both the set of points and the set of lines. Then G must be almost simple. In this paper, we show that soc(G) cannot be isomorphic to Sz(2^2m+1) or Ree(3^2m+1) where m is a positive integer.

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