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math.GR2016★ 24 cited
Automorphism groups of quandles arising from groups
Valeriy G. Bardakov, Pinka Dey, Mahender Singh
Let be a group and $φ\in \Aut(G)$. Then the set equipped with the binary operation gives a quandle structure on , denoted by $\Alex(G, φ)$ and called t…
math.GT2016★ 29 cited
Unrestricted virtual braids, fused links and other quotients of virtual braid groups
Valeriy Bardakov, Paolo Bellingeri, Celeste Damiani
We consider the group of unrestricted virtual braids, describe its structure and explore its relations with fused links. Also, we define the groups of flat virtual braids and virtu…