Nouf Almutiben*, Edward L. Boone, Ryad Ghanam and G. Thompson
In this paper we study the Lie symmetries of the canonical connection on Lie groups for the special case when the Lie algebra has a codimension
two abelian nilradical. In this particular case, we have only one algebra in dimension four, namely A4,12 and three algebras in dimension five; namely 
. For each of these algebras we investigate and classify the symmetry algebra associated with its geodesic equations.
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