Speaker
Dr
Klara Stokes
(Universitat Oberta de Catalunya)
Description
In a paper from 1886, Martinetti enumerated small v_3-configurations using a construction that permits to produce a (v +1)_3-configuration from a v_3-configuration. He called configurations that were not constructible in this way irreducible configurations. According to his definition, the irreducible configurations are Pappus’ configuration and four infinite families of configurations. In 2005, Boben defined a simpler and more general definition of irreducibility, for which only two v_3-configurations, the Fano plane and Pappus’ configuration, remained irreducible. In this talk I describe how to generalize this construction to both balanced and unbalanced (v, b, r, k)-configurations and I give some general results on augmentability and reducibility.
Primary author
Dr
Klara Stokes
(Universitat Oberta de Catalunya)
