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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 is called the covering number of , 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 , with even, are translation generalised quadrangles. Equivalently, the only known groups …