"Distinguishing crystallographic groups by their finite quotients"

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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. Click to show full 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.

Keywords: finite quotients; groups finite; distinguishing crystallographic; crystallographic groups

Journal Title: Journal of Algebra
Year Published: 2021

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