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Multiple Extensions of Generalized Hexagons Related to the Simple Groups McL and Co 3
Author(s) -
Cuypers Hans,
Kasikova Anna,
Pasechnik Dmitrii V.
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/54.1.16
Subject(s) - extension (predicate logic) , simple (philosophy) , mathematics , automorphism , pure mathematics , combinatorics , group (periodic table) , order (exchange) , physics , computer science , quantum mechanics , philosophy , epistemology , finance , economics , programming language
The groups McL, Co 3 and 2 × Co 3 are all contained in the automorphism group of a 2‐, respectively, 3‐fold extension of a generalized hexagon of order (4,1). We give a geometric characterization of these multiple extensions of this generalized hexagon.