Primitive flag-transitive generalized hexagons and octagons

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:115

Article

Schneider, Csaba¹  Van Maldeghem, Hendrik² 

[1] Comp & Automat Res Inst, Informat Res Lab, H-1518 Budapest, Hungary

[2] Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium

关键词: Generalized hexagons;    Generalized octagons;    Generalized polygons;    Primitive permutation groups;    Flag-transitivity;    O'Nan-Scott Theorem;    Almost simple groups;    Groups of Lie type;   

DOI  :  10.1016/j.jcta.2008.02.004

来源: Elsevier

【 摘 要 】

Suppose that an automorphisin group G acts flag-transitively on a finite generalized hexagon or octagon S, and suppose that the action on both the point and line set is primitive. We show that G is an almost simple group of Lie type, that is, the socle of G is a simple Chevalley group. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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