Primitive permutation groups whose subdegrees are bounded above

Simon M. Smith

If $G$ is a group of permutations of a set $\Omega$ and $\alpha \in \Omega$, then the {\em $\alpha$-suborbits} of $G$ are the orbits of the stabilizer $G_{\alpha }$ on $\Omega$. The cardinality of an $\alpha$-suborbit i…