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.
1996
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2534494
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