3 papers
math.GR2016
The Divisibility Graph of finite groups of Lie Type
Adeleh Abdolghafourian, Mohammad A. Iranmanesh, Alice C. Niemeyer
The Divisibility Graph of a finite group has vertex set the set of conjugacy class lengths of non-central elements in and two vertices are connected by an edge if one divid…
math.GR2014
Elements in finite classical groups whose powers have large 1-Eigenspaces
Alice C. Niemeyer, Cheryl E. Praeger
We estimate the proportion of several classes of elements in finite classical groups which are readily recognised algorithmically, and for which some power has a large fixed point…
math.GR2014
On complexity of multiplication in finite soluble groups
M. F. Newman, Alice C. Niemeyer
We determine a reasonable upper bound for the complexity of collection from the left to multiply two elements of a finite soluble, or polycyclic, group by restricting attention to…