8 citations · 9 across the 5 of their papers we have counts for
6 papers
The Excess Zero Graph of a Coxeter Group
Sarah Hart, Veronica Kelsey, Peter Rowley
For a Coxeter group with length function , the excess zero graph has vertex set the non-identity involutions of , with two involutions and a…
-Groupoids of Conway Type
Veronica Kelsey, Peter Rowley
In the spirit of Conway we define a groupoid starting from projective planes of order , where is odd. The associated group of these groupoids is then investigated.
The relational complexity of linear groups acting on subspaces
Saul D. Freedman, Veronica Kelsey, Colva M. Roney-Dougal
The relational complexity of a subgroup of is a measure of the way in which the orbits of on for various determine the original action of . V…
A Note on the Rank 5 Polytopes of M24
Veronica Kelsey, Robert Nicolaides, Peter Rowley
The maximal rank of an abstract regular polytope for M24, the Mathieu group of degree 24, is 5. There are four such polytopes of rank 5 and in this note we describe them using Curt…
On relational complexity and base size of finite primitive groups
Veronica Kelsey, Colva M. Roney-Dougal
In this paper we show that if is a primitive subgroup of that is not large base, then any irredundant base for has size at most . This is the first logari…
Maximal Cocliques in the Generating Graphs of the Alternating and Symmetric Groups
Veronica Kelsey, Colva M. Roney-Dougal
The generating graph of a finite group has vertex set the non-identity elements of , with two elements connected exactly when they generate . A coclique in a graph…