Abstract
The ϰ-affine space is defined, i.e. a geometry in which ϰ distinct points are joint by exactly one ‘curve’ (subspace of dimension 1). This definition generalizes the notions of affine [1] and Möbius [4] spaces. An example of a 5-affine space with the Mathieu group\(\mathfrak{M}_{12}\) as automorphism group is constructed. There are only a few models of at least 4-affine planes of finite order.
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Heise, W., Timm, J. ϰ-affine Räume. Manuscripta Math 4, 31–37 (1971). https://doi.org/10.1007/BF01168903
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DOI: https://doi.org/10.1007/BF01168903