Commutator subgroups of Hantzsche–Wendt groups

DOI10.1515/JGT.2007.031zbMath1185.57001MaRDI QIDQ5292704

Bartosz Putrycz

Publication date: 22 June 2007

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

zbMATH Keywords

abelianizationtorsion-free metabelian groups

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Issues of holonomy in differential geometry (53C29) Discontinuous groups of transformations (57S30)

Related Items (8)

Cohomological rigidity of oriented Hantzsche-Wendt manifolds ⋮ Properties of generalized Hantzsche–Wendt groups ⋮ Unique product groups and congruence subgroups ⋮ Spin\(^c\) structures on Hantzsche-Wendt manifolds ⋮ Properties of the combinatorial Hantzsche-Wendt groups ⋮ Tangent bundles of Hantzsche-Wendt manifolds ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ \(\mathbb Z_2\)-cohomology and spectral properties of flat manifolds of diagonal type

Cites Work

• The Anosov theorem for flat generalized Hantzsche-Wendt manifolds
• Problems on Bieberbach groups and flat manifolds
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II
• ON TORSION-FREE METABELIAN GROUPS WITH COMMUTATOR QUOTIENTS OF PRIME EXPONENT
• The Euclidean Representations of the Fibonacci Groups
• Isospectral Hantzsche-Wendt manifolds

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