Properties of Elements

IsSemisimple(x): GrpLieElt -> BoolElt

Return true if, and only if, the element \(x\) of the group of Lie type is semisimple.

IsUnipotent(x): GrpLieElt -> BoolElt

Return true if, and only if, the element \(x\) of the group of Lie type is unipotent.

IsCentral(x): GrpLieElt -> BoolElt

Return true if, and only if, the element \(x\) of the group of Lie type is in the centre of its parent group.