Geometric group theory

Grant number: DP0209769


Groups arise naturally as symmetries of geometric objects. Often groups have an interesting geometric structure obtained by thinking of these geometric objects coursely. This project aims to study the subgroup structure of such groups and obtain homological, geometric and algorithmic information. It further investigates natural decompositions of groups with geometric structure along special subgroups so that the factors have simpler properties.{P

University of Melbourne Researchers