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arXiv · 1607.03503

A Bieberbach theorem for crystallographic group extensions

John G. Ratcliffe·Steven T. Tschantz
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Abstract

In this paper we prove that for each dimension $n$ there are only finitely many isomorphism classes of pairs of groups $(\Gamma,\mathrm{N})$ such that $\Gamma$ is an $n$-dimensional crystallographic group and $\mathrm{N}$ is a normal subgroup of $\Gamma$ such that $\Gamma/\mathrm{N}$ is a crystallographic group.

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John G. Ratcliffe, Steven T. Tschantz. 2016-07-12. A Bieberbach theorem for crystallographic group extensions. https://arxiv.org/abs/1607.03503

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