Affine representations of Fibonacci groups and flat manifolds

Rafał Lutowski , Zbigniew Marciniak

Abstract

We construct examples of affine representations for a family of Fibonacci groups. As an application, we prove that all Hantzsche–Wendt groups of the same dimension are epimorphic images of the same Fibonacci group.
Author Rafał Lutowski IM
Rafał Lutowski,,
- Institute of Mathematics
, Zbigniew Marciniak
Zbigniew Marciniak,,
-
Journal seriesCommunications in Algebra, ISSN 0092-7872
Issue year2018
Vol46
No6
Pages2738-2741
Publication size in sheets0.5
Keywords in EnglishBieberbach, crystallographic group, Fibonacci, Hantzsche-Wendt
DOIDOI:10.1080/00927872.2017.1399412
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 15.0, 06-04-2018, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 06-04-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.429 (2) - 2016=0.484 (5)
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