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math.GR2019
Distinguishing crystallographic groups by their finite quotients
Paweł Piwek, David Popović, Gareth Wilkes
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.
math.GR2019★ 1 cited
Virtually abelian quotients of random groups
Gareth Wilkes
It is well-known that random groups with at least as many relators as generators have vanishing first betti number with high probability. In this paper we extend this question and…