March 7, 2017

Abstract Root Subgroups and Simple Groups of Lie-Type by Franz G. Timmesfeld

k of Witt index 1, such that there exist more than two singular points in V. 9). 9) R is a rank one group with unipotent subgroups Up. Moreover Up is abelian. Let W be the so-called "spin-module" for O(V, q). Then it is known that [W, Up, Up] = O. 5) R is a special rank one group. 12)]. We now start to discuss (quasi) simplicity of rank one groups.

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