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math.GR2021★ 2 cited
Virtual planar braid groups and permutations
Tushar Kanta Naik, Neha Nanda, Mahender Singh
Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid groups, respectively. These groups play the role of braid groups in the Alexander-Markov…
math.GR2021
A Wells type exact sequence for non-degenerate unitary solutions of the Yang--Baxter equation
Valeriy Bardakov, Mahender Singh
Cycle sets are known to give non-degenerate unitary solutions of the Yang--Baxter equation and linear cycle sets are enriched versions of these algebraic systems. The paper explore…