Computational Methods and Function Theory 9 (2009), No. 1, 13--25
Copyright Heldermann Verlag 2009
John R. Parker
j.r.parker@durham.ac.uk , University of Durham, Department of Mathematical Sciences, Science Laboratories, South Road, Durham DH1 3LE, U.K.
Ian Short
ian.short@nuim.ie , National University of Ireland Maynooth, Mathematics Department, Logic House, Maynooth, County Kildare, Ireland.
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be determined from a simple rational function of the coefficients of the transformation. We study the group of quaternionic Möbius transformations and identify simple rational functions of the coefficients of the transformations that determine dynamics and conjugacy.
Keywords: Möbius transformations, quaternions, conjugacy, dynamics.
MSC 2000: 15A33, 51B10.
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