Research Explorer

Project

Locally compact groups acting on discrete geometric structures
Code
01D27417
Duration
01 October 2017 → 30 September 2021
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Group theory and generalisations
    • Topological groups, Lie groups
    • Geometry
Keywords
mathematics locally compact group topology group theory algebra
 
Project description
 

The structure of locally compact groups is still far from fully understood in general. We aim to further develop the theory of totally discontinuous locally compact groups, by actions on suitable discrete geometric structures, such as locally finite trees and right-angled buildings. These actions provide a
rich class of examples and ought to enhance our general understanding of these groups.