On finite generalized quadrangles with PSL(2,q) as an automorphism group

Let S be a finite thick generalized quadrangle, and suppose that G is an automorphism group of S . If G acts primitively on both the points and lines of S , then it is known that G must be almost simple. In this paper, we show that if the socle of G is PSL ( 2 , q ) with q ≥ 4 , then q = 9 and S is...

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Bibliographic Details
Published in:	Designs, codes, and cryptography Vol. 91; no. 6; pp. 2347 - 2364
Main Authors:	Feng, Tao, Lu, Jianbing
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2023 Springer Nature B.V
Subjects:	Automorphisms Coding and Information Theory Computer Science Cryptology Discrete Mathematics in Computer Science Geometry Inequality Polygons 20B25 Point-primitive Generalized quadrangle Automorphism group Projective linear group 05B25 Line-primitive 20B15
ISSN:	0925-1022, 1573-7586
Online Access:	Get full text
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