9 citations · 43 across the 22 of their papers we have counts for
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math.GR2020★ 9 cited
The non-commuting, non-generating graph of a nilpotent group
Peter J. Cameron, Saul D. Freedman, Colva M. Roney-Dougal
For a nilpotent group , let be the difference between the complement of the generating graph of and the commuting graph of , with vertices corresponding to central…
math.GR2020★ 1 cited
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…
math.GR2020★ 4 cited
Normalisers of primitive permutation groups in quasipolynomial time
Colva Roney-Dougal, Sergio Siccha
We show that given generators for subgroups and of , if is primitive then generators for may be computed in quasipolynomial time, namely…