Holonomy groups of Bieberbach groups with finite outer automorphism groups

DOI10.1007/BF01196572zbMath0834.20054MaRDI QIDQ1894892

Gerhard Hiss, Andrzej Szczepański

Publication date: 18 March 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

fundamental groupsholonomy groupstorsion free groupsfirst Betti numberBieberbach groupsmaximal Abelian subgroupsaffine self equivalencescompact connected flat manifoldsfinite outer automorphism groups

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (2)

Problems on Bieberbach groups and flat manifolds ⋮ Bieberbach groups with finite commutator quotient and point-group Cpn × Cpm

Uses Software

• GAP

Cites Work

• Unnamed Item
• The computations of some Schur indices
• Modular representation theory: New trends and methods
• Bieberbach groups and flat manifolds
• Localization in the classification of flat manifolds
• Minimal dimensions for flat manifolds with prescribed holonomy
• Five dimensional Bieberbach groups with trivial centre
• Anosov diffeomorphisms of flat manifolds
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II
• The loewy structure of the projective indecomposable modules for the mathieu groups in characteristic 3
• Endliche Gruppen I

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