English

Crystallographic groups with trivial center and outer automorphism group

Group Theory 2018-04-12 v1

Abstract

Let Γ\Gamma be a crystallographic group of dimension n,n, i.e. a discrete, cocompact subgroup of Isom(Rn)\operatorname{Isom}(\mathbb{R}^n) = O(n)Rn.O(n)\ltimes\mathbb{R}^n. For any n2,n\geq 2, we construct a crystallographic group with a trivial center and a trivial outer automorphism group.

Keywords

Cite

@article{arxiv.1501.03648,
  title  = {Crystallographic groups with trivial center and outer automorphism group},
  author = {Rafał Lutowski and Andrzej Szczepański},
  journal= {arXiv preprint arXiv:1501.03648},
  year   = {2018}
}
R2 v1 2026-06-22T08:02:15.735Z