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math.GR2020★ 1 cited
A virtually 2-step nilpotent group with polynomial geodesic growth
Alex Bishop, Murray Elder
A direct consequence of Gromov's theorem is that if a group has polynomial geodesic growth with respect to some finite generating set then it is virtually nilpotent. However, until…
math.GR2020
Density of Metric Small Cancellation in Finitely Presented Groups
Alex Bishop, Michal Ferov
Small cancellation groups form an interesting class with many desirable properties. It is a well-known fact that small cancellation groups are generic; however, all previously know…