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Function

IsNilpotent ( grp^abl G ) -> elt-alg^boo

Description

Return `TRUE' iff `G' is nilpotent, i.e. if the lower central series terminates finitely and `[G^(i-1),G] =: G^i = {e}'.
Abelian groups are apparently nilpotent.

Examples

x_A := AbelianGroup([2,3,5]); IsNilpotent(x_A);
x_F := FreeAbelianGroup(2); IsNilpotent(x_F);
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