Abstract
The number of parameters entering a Euclidean Yang-Mills solution with topological charge $k$ is determined for a theory constructed from an arbitrary Lie group $G$. It is shown that this number is precisely that required to specify the position, scale, and relative group orientation of $k$ independent solutions each with minimum topological charge 1. Such minimal single-pseudoparticle solutions can be obtained by embedding the familiar ${\mathrm{SU}}_{2}$ pseudoparticle of Belavin et al. into the general Lie group.
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