Pure Mathematics Theses: Recent submissions

Now showing items 46-50 of 76

    • Aspects of order and congruence relations on regular semigroups 

      Gomes, Gracinda Maria dos Santos (University of St Andrews, 1983) - Thesis
      On a regular semigroup S natural order relations have been defined by Nambooripad and by Lallement. Different characterisations and relationships between the Nambooripad order J, Lallement's order λ and a certain relation ...

    • Graph automatic semigroups 

      Carey, Rachael Marie (University of St Andrews, 2016-06-24) - Thesis
      In this thesis we examine properties and constructions of graph automatic semigroups, a generalisation of both automatic semigroups and finitely generated FA-presentable semigroups. We consider the properties of graph ...

    • Dimension and measure theory of self-similar structures with no separation condition 

      Farkas, Ábel (University of St Andrews, 2015-11-30) - Thesis
      We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any ...

    • On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions 

      Baynes, Samuel (University of St Andrews, 2015-11-30) - Thesis
      In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given ...

    • The maximal subgroups of the classical groups in dimension 13, 14 and 15 

      Schröder, Anna Katharina (University of St Andrews, 2015-11-30) - Thesis
      One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is ...