A square matrix A is said to be unipotent if A - I, where I is an identity matrix is a nilpotent matrix (defined by the property that A^n is the zero matrix for some positive integer matrix power n. The corresponding identity, (A - I)^k = 0 for some integer k allows this definition to be generalized to other types of algebraic systems. An example of a unipotent matrix is a square matrix whose entries below the diagonal are zero and its entries on the diagonal are one.

Fitting subgroup | nilpotent matrix | p-group | semisimple element