Abstract
In this paper, so-called semiclassical parabolic systems are investigated. A parabolic system {P1 ... Pn} is called semiclassical with Borel subgroup B= ∩ni=1 Pi if for the rank two parabolics , i ≠ j, we have that /B either is a rank two Lie group in characteristic 2, where Pi,Pj are the corresponding minimal parabolics, or Σ6. Furthermore the latter occurs. There are sporadic simple groups M24, He,Co1, M(24)' and the monster which possess a semiclassical parabolic system. In this paper the local properties, i.e. the structure of the Pi are determined and the groups above and some others are classified.
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