Scott Harper

collaborators

3 papers

math.GR2020

The Spread of Almost Simple Classical Groups

Scott Harper

Every finite simple group can be generated by two elements, and in 2000, Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group every n…

math.GR2020

Connectivity of generating graphs of nilpotent groups

Scott Harper, Andrea Lucchini

Let $G$ be $2$ -generated group. The generating graph of $Γ (G)$ is the graph whose vertices are the elements of $G$ and where two vertices $g$ and $h$ are adjacent if $G=\langle g,h…

math.GR2019

Infinite $\frac{3}{2}$ -generated groups

Casey Donoven, Scott Harper

Every finite simple group can be generated by two elements, and Guralnick and Kantor proved that, moreover, every nontrivial element is contained in a generating pair. Groups with…

The Spread of Almost Simple Classical Groups

Connectivity of generating graphs of nilpotent groups

Infinite 23​-generated groups

Infinite $\frac{3}{2}$ -generated groups