Seminari del Dipartimento di Matematica

Seminario del 2026

Pavel Shumyatsky

Probabilistically Nilpotent Finite Groups

algebra e geometria

A finite group G is nilpotent if and only if any two Sylow subgroups of coprime orders commute. In this talk we will discuss finite groups in which this property holds with high probability and we will see how this affects the structure of the group. In particular, we will see that the group $G$ is almost nilpotent in some precise sense.