Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups

Pravin Kumar, Tushar Kanta Naik, Neha Nanda +1

The virtual braid group $V{B}_n$, the virtual twin group $V{T}_n$ and the virtual triplet group $V{L}_n$ are extensions of the symmetric group $S_n$, which are motivated by the Alexander…