Abstract
It is proved that a centroaffine group G generated by a discrete G-invariant set of reflections of Euclidean space E 3 is discrete. Affine nondiscrete groups generated by reflections in E 3 but containing only discrete sets of reflections are constructed.
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References
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Additional information
Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 59–66, 1991.
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Krivoruchko, A.I. Groups generated by discrete sets of reflections. J Math Sci 69, 869–873 (1994). https://doi.org/10.1007/BF01250816
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DOI: https://doi.org/10.1007/BF01250816