A Lie algebra is described using this term if its lower central series eventually vanishes, and Lie algebras with this term are di eomorphic to Euclidean space.
A subalgebra of a Lie algebra is called a Cartan subalgebra if it is equal to its normalizer and has this property, and the ring of coquaternions contains       a cone of elements with this property. A Lie algebra is described using this term if its lower central series eventually vanishes, and Lie algebras with this term are di eomorphic to Euclidean space. This term is used to describe groups whose upper central series terminates with the entire group. This term describes matrices with characteristic polynomial   xn, that is, those whose eigenvalues are all equal to zero. For ten points, identify this property held by an element of a group if some power of it is equal to zero.
A subalgebra of a Lie algebra is called a Cartan subalgebra if it is equal to its normalizer and has this property, and the ring of coquaternions contains       a cone of elements with this property.
nilpotent [accept word forms]