Pure Mathematics: Recent submissions

Now showing items 41-45 of 90

    • Two variants of the froidure-pin algorithm for finite semigroups 

      Jonusas, Julius; Mitchell, J. D.; Pfeiffer, M. (2018-02-08) - Journal article
      In this paper, we present two algorithms based on the Froidure-Pin Algorithm for computing the structure of a finite semigroup from a generating set. As was the case with the original algorithm of Froidure and Pin, the ...

    • Fractal, group theoretic, and relational structures on Cantor space 

      Donoven, Casey Ryall (University of St Andrews, 2016) - Thesis
      Cantor space, the set of infinite words over a finite alphabet, is a type of metric space with a `self-similar' structure. This thesis explores three areas concerning Cantor space with regard to fractal geometry, group ...

    • Constructing 2-generated subgroups of the group of homeomorphisms of Cantor space 

      Hyde, James Thomas (University of St Andrews, 2017) - Thesis
      We study finite generation, 2-generation and simplicity of subgroups of H[sub]c, the group of homeomorphisms of Cantor space. In Chapter 1 and Chapter 2 we run through foundational concepts and notation. In Chapter 3 we ...

    • Generalized Bernstein polynomials and total positivity 

      Oruç, Halil (University of St Andrews, 1999) - Thesis
      "This thesis submitted for Ph.D. degree deals mainly with geometric properties of generalized Bernstein polynomials which replace the single Bernstein polynomial by a one-parameter family of polynomials. It also provides ...

    • Flatness, extension and amalgamation in monoids, semigroups and rings 

      Renshaw, James Henry (University of St Andrews, 1986) - Thesis
      We begin our study of amalgamations by examining some ideas which are well-known for the category of R-modules. In particular we look at such notions as direct limits, pushouts, pullbacks, tensor products and flatness in ...