A short note about diffuse Bieberbach groups

Andrzej Szczepa\'nski; Anna G\k{a}sior; Rafa{\l} Lutowski

arxiv: 1703.04972 · v3 · pith:MJZVT3FPnew · submitted 2017-03-15 · 🧮 math.GR

A short note about diffuse Bieberbach groups

Anna G\k{a}sior , Rafa{\l} Lutowski , Andrzej Szczepa\'nski This is my paper

classification 🧮 math.GR

keywords bieberbachdiffusegroupsdimensiongroupansweraspectsclassify

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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.

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A short note about diffuse Bieberbach groups

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