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 (FMPI / IM)
Rafał Lutowski,,
- Institute of Mathematics
, Zbigniew Marciniak
Zbigniew Marciniak,,
-
Journal seriesCommunications in Algebra, ISSN 0092-7872, (A 15 pkt)
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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