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 2025Show all

3 papers · 1 filter

math.GR2025

On Cameron's Greedy Conjecture

Coen del Valle, Colva M. Roney-Dougal

A base for a permutation group $G$ acting on a set $Ω$ is a subset $B$ of $Ω$ whose pointwise stabiliser $G_{(B)}$ is trivial. There is a natural greedy algorit…

math.GR2025

Subgroups of symmetric groups: enumeration and asymptotic properties

Colva M. Roney-Dougal, Gareth Tracey

In this paper, we prove that the symmetric group $S_{n}$ has $2^{n^{2} /16 + o (n^{2})}$ subgroups, settling a conjecture of Pyber from 1993. We also derive asymptotically sharp upp…

math.GR2025

Irredundant bases for soluble groups

Sofia Brenner, Coen del Valle, Colva M. Roney-Dougal

Let $Δ$ be a finite set and $G$ be a subgroup of $Sym (Δ)$ . An irredundant base for $G$ is a sequence of points of $Δ$ yielding a strictly descending chain of pointwi…