Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators

S. P. Glasby

The group U_n(F) of all nxn unipotent upper-triangular matrices over F has derived length d := Ceiling(log_2 (n)), equivalently 2^{d-1} < n <= 2^d. We prove that U_n(F) has a 3-gen…