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math.GR2024
Linear representations, crystallographic quotients, and twisted conjugacy of virtual Artin groups
Neeraj Kumar Dhanwani, Pravin Kumar, Tushar Kanta Naik +1
Virtual Artin groups were recently introduced by Bellingeri, Paris, and Thiel as broad generalizations of the well-known virtual braid groups. For each Coxeter graph , they defi…
math.GR2023
Brunnian planar braids and simplicial groups
Valeriy G. Bardakov, Pravin Kumar, Mahender Singh
Twin groups are planar analogues of Artin braid groups and play a crucial role in the Alexander-Markov correspondence for the isotopy classes of immersed circles on the 2-sphere wi…