Pure Mathematics Theses: Recent submissions
Now showing items 56-60 of 76
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Ends of semigroups
(University of St Andrews, 2013) - ThesisThe 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
(University of St Andrews, 2013) - ThesisPart 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 ... -
Endomorphisms of Fraïssé limits and automorphism groups of algebraically closed relational structures
(University of St Andrews, 2012-11-30) - ThesisLet Ω be the Fraïssé limit of a class of relational structures. We seek to answer the following semigroup theoretic question about Ω. What are the group H-classes, i.e. the maximal subgroups, of End(Ω)? Fraïssé limits for ... -
Topics in combinatorial semigroup theory
(University of St Andrews, 2012-11-30) - ThesisIn this thesis we discuss various topics from Combinatorial Semigroup Theory: automaton semigroups; finiteness conditions and their preservation under certain semigroup theoretic notions of index; Markov semigroups; ... -
Presentations and efficiency of semigroups
(University of St Andrews, 1998) - ThesisIn this thesis we consider in detail the following two problems for semigroups: (i) When are semigroups finitely generated and presented? (ii) Which families of semigroups can be efficiently presented? We also consider ...