Harmonic maps from surfaces to Euclidean buildings have orders of the form m/k with k dividing the Weyl group order of the building.
Margulis.Discrete subgroups of semisimple Lie groups.Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol
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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.