Multiplied configurations, series induced by quasi difference sets

TL;DR

This paper uses quasi difference sets to analyze the structure and symmetries of complex configurations formed by joining simpler configurations, especially series of cyclically inscribed copies.

Contribution

It introduces a method to characterize configurations and their automorphisms via quasi difference sets, focusing on series and joins of configurations.

Findings

Characterization of configurations using quasi difference sets

Description of automorphisms of joined configurations

Analysis of series of cyclically inscribed copies

Abstract

Using the technique of quasi difference sets we characterize geometry and automorphisms of configurations which can be presented as a join of some others, in particular - which can be presented as series of cyclically inscribed copies of another configuration.