Ask a Question

Prefer a chat interface with context about you and your work?

On the minimal degree and base size of finite primitive groups

On the minimal degree and base size of finite primitive groups

Let $G$ be a finite permutation group acting on $\Omega$. A base for $G$ is a subset $B \subseteq \Omega$ such that the pointwise stabilizer $G_{(B)}$ is the identity. The base size of $G$, denoted by $b(G)$, is the cardinality of the smallest possible base. The minimal degree of $G$, …