C. Roney‐Dougal

activity

20102026

most citedThe non-commuting, non-generating graph of a nilpotent group

9 citations · 43 across the 22 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.GR2014

Coprime invariable generation and minimal-exponent groups

Eloisa Detomi, Andrea Lucchini, Colva M. Roney-Dougal

A finite group $G$ is \emph{coprimely-invariably generated} if there exists a set of generators ${g_{1}, ..., g_{u}}$ of $G$ with the property that the orders $∣ g_{1} ∣, ..., ∣ g_{u} ∣$ are…

math.GR2014★ 1 cited

An explicit upper bound for the Helfgott delta in SL(2,p)

Jack Button, Colva Roney-Dougal

Helfgott proved that there exists a $δ > 0$ such that if $S$ is a symmetric generating subset of $S L (2, p)$ containing 1 then either $S^{3} = S L (2, p)$ or $∣ S^{3} ∣ \geq ∣ S ∣^{1 + δ}$ . It is know…