TRIANGULAR MONOIDS AND AN ANALOG TO THE DERIVED SEQUENCE OF A SOLVABLE GROUP
Craig P. Bauer · International Journal of Algebra and Computation · 2000
A sequence is defined for a monoid consisting of upper triangular matrices. This sequence is analogous to the derived sequence of the solvable group. The relationship between the two sequences is investigated and sets of upper triangular partial permutation matrices, which arise naturally from this relation, are examined.