Pure Mathematics: Recent submissions

Now showing items 61-65 of 90

    • Dimension theory and fractal constructions based on self-affine carpets 

      Fraser, Jonathan M. (University of St Andrews, 2013-11-29) - Thesis
      The aim of this thesis is to develop the dimension theory of self-affine carpets in several directions. Self-affine carpets are an important class of planar self-affine sets which have received a great deal of attention ...

    • Finiteness conditions for unions of semigroups 

      Abu-Ghazalh, Nabilah Hani (University of St Andrews, 2013-06-28) - Thesis
      In this thesis we prove the following: The semigroup which is a disjoint union of two or three copies of a group is a Clifford semigroup, Rees matrix semigroup or a combination between a Rees matrix semigroup and a ...

    • Adventures in applying iteration lemmas 

      Pfeiffer, Markus Johannes (University of St Andrews, 2013-06-28) - Thesis
      The word problem of a finitely generated group is commonly defined to be a formal language over a finite generating set. The class of finite groups has been characterised as the class of finitely generated groups that ...

    • Ends of semigroups 

      Craik, Simon (University of St Andrews, 2013) - Thesis
      The aim of this thesis is to understand the algebraic structure of a semigroup by studying the geometric properties of its Cayley graph. We define the notion of the partial order of ends of the Cayley graph of a semigroup. ...

    • Random generation and chief length of finite groups 

      Menezes, Nina E. (University of St Andrews, 2013) - Thesis
      Part I of this thesis studies P[subscript(G)](d), the probability of generating a nonabelian simple group G with d randomly chosen elements, and extends this idea to consider the conditional probability P[subscript(G,S ...