Unrestricted virtual braids and crystallographic braid groups

preprint2022arXivOpen access

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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Unrestricted virtual braids and crystallographic braid groups

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