On the Number of Generators of a Bieberbach Group

DOI10.1080/00927870902829007zbMath1197.20043OpenAlexW2166123270MaRDI QIDQ3656746

Pieter Penninckx, Karel Dekimpe

Publication date: 14 January 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902829007

zbMATH Keywords

cohomologygroup extensionsnumbers of generatorsholonomy groupscrystallographic groupsBieberbach groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)

Related Items (1)

Generators of Bieberbach groups with 2-generated holonomy group

Cites Work

• Linear representations of groups. Transl. from the Russian by A. Iacob.
• Bieberbach groups and flat manifolds
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• The structure and topological meaning of almost-torsion free groups
• INFRA-ABELIAN GROUPS AND FREE ACTIONS OF FINITE GROUPS ON THE N -TORUS
• Group actions and group extensions

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