Pure Mathematics Theses: Recent submissions
Now showing items 61-65 of 76
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Semigroups of order-decreasing transformations
(University of St Andrews, 1992) - ThesisLet X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial ... -
Semigroup presentations
(University of St Andrews, 1995) - ThesisIn this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by ... -
Topics in computational group theory : primitive permutation groups and matrix group normalisers
(University of St Andrews, 2011-11) - ThesisPart I of this thesis presents methods for finding the primitive permutation groups of degree d, where 2500 ≤ d < 4096, using the O'Nan-Scott Theorem and Aschbacher's theorem. Tables of the groups G are given for each ... -
Generation problems for finite groups
(University of St Andrews, 2011-11-30) - ThesisIt can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B. A ... -
Directed graph iterated function systems
(University of St Andrews, 2011-11-30) - ThesisThis thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed ...