On the cardinality of irredundant and minimal bases of finite permutation groups

Francesca Dalla Volta, Fabio Mastrogiacomo, Pablo Spiga

Given a finite permutation group $G$ with domain $\Omega$, we associate two subsets of natural numbers to $G$, namely $\mathcal{I}(G,\Omega )$ and $\mathcal{M}(G,\Omega )$, which are the sets of ca…