Distinguishing crystallographic groups by their finite quotients

2019/10/22 by Piwek, Paweł, Popović, David, Wilkes, Gareth · 2 citations
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.09845

Abstract

Using the computer algebra program GAP, we show that all crystallographic groups in dimensions at most 4 are distinguished from each other by their sets of finite quotients.

Cited by

• The profinite genus of the groups ℤⁿ\rtimes C_p²
• Profinite rigidity of crystallographic groups arising from Lie theory

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