Kevin Johns - Frieze Groups, Advisor Dr. Morton

 

In the field of abstract algebra, one of the more widely studied subjects is that of symmetry groups (groups formed by the set of symmetries of an object).  Frieze groups are a specific type of symmetry groups created by the symmetries of a frieze pattern, a periodic pattern that exists on an infinitely wide strip of the plane.  The goal of this presentation will be to provide an introduction to the seven known frieze patterns and their corresponding symmetry groups and also provide a brief sketch of the proof that only these seven frieze patterns exist