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- Institute for Theoretical and Experimental PhysicsRU30 papers
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8 papers · 1 filter
Automorphisms of pure braid Groups
Valeriy G. Bardakov, Mikhail V. Neshchadim, Mahender Singh
In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for , $\Aut(P_n)$ is generated by the subgroup $\Aut_c(P_n)$ of cen…
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…
Palindromic Automorphisms of Free Nilpotent Groups
Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mikhail V. Neshchadim +1
In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent…
Brunnian Braids and Lie Algebras
J. Y. Li, V. V. Vershinin, J. Wu
Brunnian braids have interesting relations with homotopy groups of spheres. In this work, we study the graded Lie algebra of the descending central series related to Brunnian subgr…
Palindromic Automorphisms of Free Groups
Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mahender Singh
Let be the free group of rank with free basis . A palindrome is a word in that reads the same backwards as forwards. The palindromic aut…
On palindromic width of certain extensions and quotients of free nilpotent groups
Valeriy G. Bardakov, Krishnendu Gongopadhyay
In arXiv:1303.1129, the authors provided a bound for the palindromic width of free abelian-by-nilpotent group of rank and free nilpotent group of rank $n…