Pure Mathematics Theses: Recent submissions

Now showing items 11-15 of 76

    • On constructing topology from algebra 

      Elliott, Luke (University of St Andrews, 2022-06-14) - Thesis
      In this thesis we explore natural procedures through which topological structure can be constructed from specific semigroups. We will do this in two ways: 1) we equip the semigroup object itself with a topological structure, ...

    • Interpolating between Hausdorff and box dimension 

      Banaji, Amlan (2023-11-28) - Thesis
      Hausdorff and box dimension are two familiar notions of fractal dimension. Box dimension can be larger than Hausdorff dimension, because in the definition of box dimension, all sets in the cover have the same diameter, but ...

    • Solving decision problems in finitely presented groups via generalized small cancellation theory 

      Jurina, Simon (2023-06-13) - Thesis
      This thesis studies two decision problems for finitely presented groups. Using a standard RAM model of computation, in which the basic arithmetical operations on integers are assumed to take constant time, in Part I we ...

    • Diameters of graphs related to groups and base sizes of primitive groups 

      Freedman, Saul Daniel (2022-11-29) - Thesis
      In this thesis, we study three problems. First, we determine new bounds for base sizes b(G,Ω) of primitive subspace actions of finite almost simple classical groups G. Such base sizes are useful statistics in computational ...

    • Synchronising and separating permutation groups through graphs 

      Aljohani, Mohammed Hamoud (2022-06-14) - Thesis
      About 15 years ago, Araújo, Arnold and Steinberg introduced the notion of synchronisation to the theory of finite permutation groups. Synchronisation property is closely related to another property which is called separation, ...