Locally 2-homogeneous block designs

TL;DR

This paper classifies locally 2-homogeneous block designs, expanding on Kantor's 1985 classification of 2-transitive symmetric designs, providing a broader understanding of these combinatorial structures.

Contribution

It extends Kantor's classification to include locally 2-homogeneous designs, offering new insights into their structure and properties.

Findings

Provides a comprehensive classification of locally 2-homogeneous designs.

Extends the known classification from 2-transitive symmetric designs.

Enhances understanding of symmetry properties in block designs.

Abstract

This paper presents a classification of locally $2$-homogeneous designs, extending Kantor's classification of 2-transitive symmetric designs (1985).