Browsing by Author "Hawthorn, Ian"
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Arbitrary functions in group theory
(NZMS, 2015)Two measures of how near an arbitrary function between groups is to being a homomorphism are considered. These have properties similar to conjugates and commutators. The authors show that there is a rich theory based on ... -
Groups with fix-set quasi-order
(Springer Basel, 2015)If X is a set, the fix-set quasiorder on a group of permutations of X is the quasiorder induced by containment of the fix-sets of elements of SX. Axioms for such quasiorders on groups have previously been given. We generalise ...
Co-authors for Ian Hawthorn
Supervised by Ian Hawthorn
Showing up to 5 theses - most recently added to Research Commons first.
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The structure and average discrepancies of lattice rules for numerical integration
(The University of Waikato, 2000)Lattice rules are equal-weight quadrature rules which are used in the approximation of multidimensional integrands over the s-dimensional unit cube [0,1]ˢ. One of the problems encountered in the study of such rules is the ... -
A New Way to Look at Homomorphisms
(University of Waikato, 2013)This thesis is about arbitrary functions between groups. We look at two way to measure how close an arbitrary function is to being a homomorphism. We first look at an action of the group on functions in which homomorphisms ... -
Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)
(University of Waikato, 2013)The Hawthorn model [1] is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of space-time than the Poincare Lie algebra, with the former contracting to the latter in the ... -
Maxwell's Equations on a 10-Dimensional Manifold with local Symmetry so(2,3)
(University of Waikato, 2012)The Hawthorn model is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of spacetime than the Poincar´e Lie algebra. This model uses a 10-dimensional spacetime referred ...
