Abstract
We show that the crystallographic braid group \(B_n/[P_n,P_n]\) embeds naturally in the group of unrestricted virtual braids \(UVB_n\), we give new proofs of known results about the torsion elements of \(B_n/[P_n,P_n]\), and we characterise the torsion elements of \(UVB_n\).
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