Scott Harper

activity

20172026

\frac{3}{2}

-generated groups

6 citations · 8 across the 8 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.GR2020

Shintani descent, simple groups and spread

Scott Harper

The spread of a group $G$ , written $s (G)$ , is the largest $k$ such that for any nontrivial elements $x_{1}, \dots, x_{k} \in G$ there exists $y \in G$ such that $G = \langle x_i, y \ra…

math.GR2020

The spread of a finite group

Timothy C. Burness, Robert M. Guralnick, Scott Harper

A group $G$ is said to be $\frac{3}{2}$ -generated if every nontrivial element belongs to a generating pair. It is easy to see that if $G$ has this property then every proper quotie…

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…