Distinguishing crystallographic groups by their finite quotients

DOI10.1016/j.jalgebra.2020.06.033OpenAlexW3047171962MaRDI QIDQ2204852

David Popović, Paweł Piwek, Gareth Wilkes

Publication date: 16 October 2020

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

Full work available at URL: https://arxiv.org/abs/1910.09845

zbMATH Keywords

crystallographic groupsprofinite rigidity

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (2)

Distinguishing 4-dimensional geometries via profinite completions ⋮ Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order

Uses Software

• GAP
• CARAT
• CrystCat

Cites Work

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• Determining Fuchsian groups by their finite quotients
• Profinite rigidity for Seifert fibre spaces
• Space groups and groups of prime-power order. II: Classification of space groups by finite factor groups
• Geometry of Crystallographic Groups
• Crystallography and Cohomology of Groups
• Counting Crystallographic Groups in Low Dimensions
• Conjugacy Separability of Groups of Integer Matrices

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