Torsion-free groups with indecomposable holonomy group. I

DOI10.1515/jgth.2001.041zbMath0995.20030arXivmath/0107017OpenAlexW1968819866MaRDI QIDQ2776802

P. M. Gudivok, V. P. Rud'ko, Victor A. Bovdi

Publication date: 21 October 2002

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107017

zbMATH Keywords

cohomology classescocyclesisometry groupsindecomposable modulesholonomy groupsBieberbach groupstorsion-free crystallographic groupsfaithful holonomy representationsgeneralized crystallographic groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Other geometric groups, including crystallographic groups (20H15) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

Extensions of the representation modules of a prime order group. ⋮ Generalized Hantzsche-Wendt flat manifolds. ⋮ The spectrum of twisted Dirac operators on compact flat manifolds

Cites Work

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• Bieberbach groups and flat manifolds
• Representations of cyclic groups in rings of integers. I
• Manifolds with holonomy group \(Z_2\oplus Z_2\) and first Betti number zero
• The group transfer theorem
• Representations of cyclic groups in rings of integers. II

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