S. P. Glasby
Published 2014-10-19Version 1
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-generated subgroup of derived length d, and it has a 2-generated subgroup of derived length d if and only if (21/32)* 2^d < n <= 2^d.
Comments: Differs from original publication because: an abstract is added, statement of main theorem is simplified, and retyped in LaTeX2e with hyperlinks. 9 pages
Journal: Groups St Andrews 1997 in Bath, I, Edited by C.M. Campbell et al., London Mathematical Society Lecture Notes Series 260, Cambridge Univ. Press, (1999), 275--281
A note on $d$-maximal $p$-groups I
On the minimal number of generators of endomorphism monoids of full shifts
Finite $p$-groups of class 3 with noninner automorphisms of order $p$
![QR code for arXiv:1410.5052 [math.GR]](http://oss.arxitics.com/images/favicon.svg)