Harmonic maps from surfaces to Euclidean buildings have orders of the form m/k with k dividing the Weyl group order of the building.
Tits.Immeubles de type affine, in Buildings and the geometry of diagrams, Como Italy 1984, L.A
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On the Possible Orders of Harmonic Maps into Euclidean Buildings
Harmonic maps from surfaces to Euclidean buildings have orders of the form m/k with k dividing the Weyl group order of the building.