A 2014 paper of W. Bogley identifies a relation between the algebraic and geometric properties of cyclically presented groups defined by positive length three relators. The work presented here extends those results to cyclically presented groups defined by positive length four relators. These groups are classified for finiteness and, except in two unresolved cases, for combinatorial asphericity. Both combinatorial asphericity and finiteness are linked to the dynamics of the shift operating on these groups.
Forrest's major professor is Prof. Bill Bogley.