Low Rank Groups of Lie Type Acting Point- and Line-Primitively on Finite Generalised Quadrangles

Vishnuram Arumugam; John Bamberg; Michael Giudici

doi:10.37236/12993

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 2B2(22m+1) or 2G2(32m+1) where m is a positive integer.

Original language	English
Article number	P143
Number of pages	14
Journal	Electronic Journal of Combinatorics
Volume	32
Issue number	1
DOIs	https://doi.org/10.37236/12993
Publication status	Published - 14 Mar 2025

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Low Rank Groups of Lie Type Acting Point- and Line-Primitively on Finite Generalised Quadrangles

Abstract

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Groups of Lie type acting on generalised quadrangles

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