Properties of the combinatorial Hantzsche-Wendt groups

DOI10.1016/j.topol.2022.108037OpenAlexW4210338928MaRDI QIDQ2670098

Jerzy Popko, Andrzej Szczepański

Publication date: 10 March 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12494

zbMATH Keywords

cohomological dimensionHilbert-Poincaré seriesHantzsche-Wendt groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Other geometric groups, including crystallographic groups (20H15) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

• Cohomological rigidity of oriented Hantzsche-Wendt manifolds
• A counterexample to the unit conjecture for group rings
• Spin\(^c\) structures on Hantzsche-Wendt manifolds
• Geometry of Crystallographic Groups
• A Simple Example of a Torsion-Free, Non Unique Product Group
• Affine representations of Fibonacci groups and flat manifolds
• Isospectral Hantzsche-Wendt manifolds
• Unique product groups and congruence subgroups
• Commutator subgroups of Hantzsche–Wendt groups
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