Elements in reductive algebraic groups with Abelian connected centralizers.
The author proves that, with essentially one exception, an element in a reductive algebraic group has Abelian connected centralizer if and only if it is regular. This extends a result of Kurtzke, who proved the statement (without exception) in the case of good characteristic; this assumption allowed results about the group to be deduced from calculations in its Lie algebra. By contrast, the work here relies on explicit calculations in the algebraic groups themselves.
scientific article; zbMATH DE number 6103771