A classification of unipotent spherical conjugacy classes in bad characteristic

Mathematics – Group Theory

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Scientific paper

Let G be a simple algebraic group over an algebraically closed field k of bad
characteristic. We classify the spherical unipotent conjugacy classes of G. We
also show that if the characteristic of k is 2, then the fixed point subgroup
of every involutorial automorphism (involution) of G is a spherical subgroup of
G.

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