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arXiv · 1501.03648

Crystallographic groups with trivial center and outer automorphism group

Rafał Lutowski·Andrzej Szczepański
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Abstract

Let $Γ$ be a crystallographic group of dimension $n,$ i.e. a discrete, cocompact subgroup of $\operatorname{Isom}(\mathbb{R}^n)$ = $O(n)\ltimes\mathbb{R}^n.$ For any $n\geq 2,$ we construct a crystallographic group with a trivial center and a trivial outer automorphism group.

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Rafał Lutowski, Andrzej Szczepański. 2015-01-15. Crystallographic groups with trivial center and outer automorphism group. https://doi.org/10.1017/s0305004117000251

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