A short note about diffuse Bieberbach groups

Anna Gąsior , Rafał Lutowski , Andrzej Szczepański


We consider low dimensional diffuse Bieberbach groups. In particular we classify diffuse Bieberbachgroups up to dimension 6. We also answer a question from [7, page 887] about the minimal dimension ofa non-diffuse Bieberbach group which does not contain the three-dimensional Hantzsche-Wendt group.
Author Anna Gąsior
Anna Gąsior,,
, Rafał Lutowski (FMPI / IM)
Rafał Lutowski,,
- Institute of Mathematics
, Andrzej Szczepański (FMPI / IM)
Andrzej Szczepański,,
- Institute of Mathematics
Journal seriesJournal of Algebra, ISSN 0021-8693, (A 25 pkt)
Issue year2018
Publication size in sheets0.5
Keywords in Englishunique product property, diffuse groups, Bieberbach groups
ASJC Classification2602 Algebra and Number Theory
URL https://doi.org/10.1016/j.jalgebra.2017.08.033
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 25.0, 04-04-2019, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 04-04-2019, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.182; WoS Impact Factor: 2017 = 0.675 (2) - 2017=0.739 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.