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Mathematics  2013 

Fundamental domains for properly discontinuous affine groups

DOI: 10.1007/s10711-013-9895-5

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Abstract:

We construct a fundamental region for the action on the $2d+1$-dimensional affine space of some free, discrete, properly discontinuous groups of affine transformations preserving a quadratic form of signature $(d+1, d)$, where $d$ is any odd positive integer.

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