Isabel Hubard, Highly symmetric polytopes and their groups & Two-orbit polyhedra from groups

Highly symmetric polytopes and their groups

In this talk we will give an introduction to abstract polytopes and will study the automorphism groups of regular and two-orbit polytopes.

Two-orbit polyhedra from groups

In this second part of the talk we will give necessary and sufficient conditions on a group, given in terms of generators and relations, to be the group of a two-orbit poyhedra. We will also look at some of the details of the construction.