Bieberbach groups with finite commutator quotient and point-group Cpn × Cpm

DOI10.1515/jgth.2000.010zbMath0952.20040OpenAlexW2073260339MaRDI QIDQ4952405

Carlos Cid

Publication date: 16 October 2000

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

Full work available at URL: https://doi.org/10.1515/jgth.2000.010

zbMATH Keywords

fundamental groupsouter automorphism groupsholonomy groupsflat manifoldspoint groupsmetabelian groupsfirst Betti numberBieberbach groupsfinite primitive groups

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (1)

Torsion-free metabelian groups with commutator quotient \(C_{p^n}\times C_{p^m}\)

Cites Work

• On the holonomy group of locally euclidean spaces
• Bieberbach groups and flat manifolds
• IA-automorphisms of two generator metabelian groups
• Dreidimensionale euklidische Raumformen
• Holonomy groups of Bieberbach groups with finite outer automorphism groups
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II

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