Browsing by Author "Hawthorn, Ian"

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  • Arbitrary functions in group theory

    Hawthorn, Ian; Guo, Yue (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

    Stokes, Tim E.; Hawthorn, Ian; Manoharan, Siva (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 ...

Ian Hawthorn has 3 co-authors in Research Commons.

Showing up to 5 theses - most recently added to Research Commons first.

  • A New Way to Look at Homomorphisms

    Guo, Yue (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)

    Ussher, Matthew Neville (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)

    Crump, William Peter (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 ...