Weakly Closed Unipotent Subgroups in Chevalley Groups

نویسنده

  • ROBERT GURALNICK
چکیده

The aim of this note is to classify all weakly closed unipotent subgroups in the split Chevalley groups. In an application we show under some mild assumptions on the characteristic that 2 dimX + dim cg(X) < dim g for X a non-trivial unipotent subgroup of the connected simple algebraic group G. This shows the failure of the analogue of the so called “2F-condition” for finite groups for the adjoint module of G.

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تاریخ انتشار 2005