Automorphism groups of some designs of steiner triple systems and the atomorphism groups of their block intersection graphs

Abstract

A Steiner triple system of order v is a collection of subsets of size three from a set of v-elements such that every pair of the elements of the set is contained in exactly one 3-subset. In this study, we discuss some known Steiner triple systems and their automorphism groups. We also construct block intersection graphs of the Steiner triple systems of our consideration and compare their automorphism groups to the automorphism groups of the Steiner triple systems.