论文信息 - Exceptional Presentations of Three Generalized Hexagons of Order 2

Exceptional Presentations of Three Generalized Hexagons of Order 2

The generalized hexagons associated with L3(2), U3(3), 3D4(2), respectively, are presented as subconfigurations of the projective plane over the complex, quaternionic, octonionic field, respectively. This leads to an embedding of Aut 3D4(2) in the Lie group of type F4(R).

Arjeh M. Cohen

[1] Arjeh M. Cohen,et al. A characterization by order of the generalized hexagons and a near octagon whose lines have lenght three , 1981 .

[2] H. S. M. Coxeter,et al. Integral Cayley numbers , 1946 .

[3] Arjeh M. Cohen,et al. Finite groups of real octave automorphisms , 1980 .

[4] Arjeh M. Cohen. Geometries originating form certain distance-regular graphs , 1981 .

[5] Arjeh M. Cohen,et al. Finite Quaternionic Reflection Groups , 1980 .

[6] F. G. Timmesfeld,et al. A characterization of the chevalley- and steinberg-groups over F2 , 1973 .

[7] N. Jacobson. Composition algebras and their automorphisms , 1958 .

[8] N. Biggs. Algebraic Graph Theory: COLOURING PROBLEMS , 1974 .

[9] A. Cohen,et al. Finite complex reflection groups , 1976 .