Pure Mathematics Theses: Recent submissions
Now showing items 21-25 of 69
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Semigroup congruences : computational techniques and theoretical applications
(University of St Andrews, 2019-06-25) - ThesisComputational semigroup theory is an area of research that is subject to growing interest. The development of semigroup algorithms allows for new theoretical results to be discovered, which in turn informs the creation ... -
Computational techniques in finite semigroup theory
(University of St Andrews, 2019-06-25) - ThesisA semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating ... -
Some group presentations with few defining relations
(University of St Andrews, 1990) - ThesisWe consider two classes of groups with two generators and three relations. One class has a similar presentation to groups considered in the paper by C.M. Campbell and R.M. Thomas, ‘On (2,n)-Groups related to Fibonacci ... -
Decision problems in groups of homeomorphisms of Cantor space
(University of St Andrews, 2018-12-06) - ThesisThe Thompson groups $F, T$ and $V$ are important groups in geometric group theory: $T$ and $V$ being the first discovered examples of finitely presented infinite simple groups. There are many generalisations of these groups ... -
On plausible counterexamples to Lehnert's conjecture
(University of St Andrews, 2018) - ThesisA group whose co-word problem is a context free language is called co𝐶𝐹 . Lehnert's conjecture states that a group 𝐺 is co𝐶𝐹 if and only if 𝐺 embeds as a finitely generated subgroup of R. Thompson's group V . In this ...