Eric Swartz

collaborators

3 papers

math.CO2015

On $2$ -arc-transitive graphs of order $k p^{n}$

Luke Morgan, Eric Swartz, Gabriel Verret

We show that there exist functions $c$ and $g$ such that, if $k$ , $n$ and $d$ are positive integers with $d > g (n)$ and $Γ$ is a $d$ -valent $2$ -arc-transitive graph of order $k p^{n}$ …

math.GR2014

On the Covering Number of Small Symmetric Groups and Some Sporadic Simple Groups

Luise-Charlotte Kappe, Daniela Nikolova-Popova, Eric Swartz

A set of proper subgroups is a covering for a group if its union is the whole group. The minimal number of subgroups needed to cover $G$ is called the covering number of $G$ , denot…

math.GR2014

AS-configurations and skew-translation generalised quadrangles

John Bamberg, S. P. Glasby, Eric Swartz

The only known skew-translation generalised quadrangles (STGQ) having order $(q, q)$ , with $q$ even, are translation generalised quadrangles. Equivalently, the only known groups $G$ …

On 2-arc-transitive graphs of order kpn

On the Covering Number of Small Symmetric Groups and Some Sporadic Simple Groups

AS-configurations and skew-translation generalised quadrangles

On $2$ -arc-transitive graphs of order $k p^{n}$