TY - JOUR
T1 - Low Rank Groups of Lie Type Acting Point- and Line-Primitively on Finite Generalised Quadrangles
AU - Arumugam, Vishnuram
AU - Bamberg, John
AU - Giudici, Michael
PY - 2025/3/14
Y1 - 2025/3/14
N2 - 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.
AB - 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.
KW - Hexagons
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=uwapure5-25&SrcAuth=WosAPI&KeyUT=WOS:001446680900001&DestLinkType=FullRecord&DestApp=WOS_CPL
UR - https://www.scopus.com/pages/publications/105000501832
U2 - 10.37236/12993
DO - 10.37236/12993
M3 - Article
SN - 1077-8926
VL - 32
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
IS - 1
M1 - P143
ER -