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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Vydáno v:Designs, codes, and cryptography Ročník 91; číslo 6; s. 2347 - 2364
Hlavní autoři: Feng, Tao, Lu, Jianbing
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.06.2023
Springer Nature B.V
Témata:
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
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Shrnutí: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 the unique generalized quadrangle of order 2.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-023-01203-x