English

A short note about diffuse Bieberbach groups

Group Theory 2018-04-12 v3

Abstract

We consider low dimensional diffuse Bieberbach groups. In particular we classify diffuse Bieberbach groups up to dimension 6. We also answer a question from [S. Kionke, J. Raimbault, On geometric aspects of diffuse groups, Doc. Math. 21 (2016), page 887] about minimal dimension of a non-diffuse Bieberbach group which does not contain three-dimensional Hantzsche-Wendt group.

Cite

@article{arxiv.1703.04972,
  title  = {A short note about diffuse Bieberbach groups},
  author = {Anna Gąsior and Rafał Lutowski and Andrzej Szczepański},
  journal= {arXiv preprint arXiv:1703.04972},
  year   = {2018}
}
R2 v1 2026-06-22T18:45:52.194Z