Irredundant bases for soluble groups

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

Let $\hat{I}”$ be a finite set and $G$ be a subgroup of $\mathrm{Sym}(\hat{I}”)$. An irredundant base for $G$ is a sequence of points of $\hat{I}”$ yielding a strictly descending chain of poin…