Coen del Valle

collaborators

3 papers

math.GR2024

A character theoretic formula for base size

Coen del Valle

A base for a permutation group $G$ acting on a set $Ω$ is a sequence $B$ of points of $Ω$ such that the pointwise stabiliser $G_{B}$ is trivial. The base size o…

math.GR2024

Greedy base sizes for sporadic simple groups

Coen del Valle

A base for a permutation group $G$ acting on a set $Ω$ is a sequence $B$ of points of $Ω$ such that the pointwise stabiliser $G_{B}$ is trivial. Denote the mini…

math.GR2023

The base size of the symmetric group acting on subsets

Coen del Valle, Colva M. Roney-Dougal

A base for a permutation group $G$ acting on a set $Ω$ is a subset $B$ of $Ω$ such that the pointwise stabiliser $G_{(B)}$ is trivial. Let $n$ and $r$ be positi…