May 6, 2024Open Access

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

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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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Arumugam et al. (Mon,) studied this question.

synapsesocial.com/papers/68e6b6eab6db6435876387e9 https://doi.org/https://doi.org/10.48550/arxiv.2405.03790

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