We prove that if u is a unipotent element of a connected reductive algebraic group G over \bar F_2, there exists an involution sigma in G such that sigma u sigma = u^(-1). We use this result to determine the group of lattice automorphisms of G, when G is simple.
The lattice automorphisms of simple algebraic groups over \bar F_2
COSTANTINI, MAURO
1996
Abstract
We prove that if u is a unipotent element of a connected reductive algebraic group G over \bar F_2, there exists an involution sigma in G such that sigma u sigma = u^(-1). We use this result to determine the group of lattice automorphisms of G, when G is simple.
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