Abstract: Let G :G(p) be a finite group of Lie type defined over the field F, . Choose a Bore1 subgroup, B = UH . 11. Associated with G is a root system, z, and a collection of root subgroups {U, : a: E Z> such that C’ 1 nI,,,Zrz and such that FI < N(U,) foreach a E ,X In Lemma 3 of [ 1 I] it was shown that for q :‘-4 any H-invariant subgroup of U is essentially a product of root subgroups (the word “essentially” is relevant only when G is twisted, with some root subgroup non-Abelian). This I-es& was cxtcnded in [7], where it was shown that any unipotent subgroup of G normalized by H is of this form (although now negative roots are allowed).
Publication Year: 1979
Publication Date: 1979-01-01
Language: en
Type: article
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Cited By Count: 1
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