Title: Counting normal subgroups in certain Frobenius groups
Abstract: A Frobenius group is a transitive permutation group such that one point stabilizers are non-trivial and two point stabilizers are trivial. During the course of analyzing the possible existence of certain types of permutation groups, I discovered that Frobenius groups with a particular structure must appear as subgroups. In all cases, it can be shown that for some prime p such Frobenius groups contain at least p^2 normal subgroups of order p^2. This led to a question of how one counts normal subgroups of this shape in Frobenius groups. It is this counting theorem that will be the focus of my talk.