Geodesic
Invariants of classical braids valued in $G_{n}^{2}$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 137-146

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The aim of the present note is to enhance groups $G_{n}^{3}$ and to construct new invariants of classical braids. In particular, we construct invariants valued in $G_{N}^{2}$ groups. In groups $G_{n}^{2}$, the identity problem is solved; besides, their structure is much simpler than that of $G_{n}^{3}$. 
@article{FPM_2019_22_4_a9,
     author = {V. O. Manturov},
     title = {Invariants of classical braids valued in $G_{n}^{2}$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {137--146},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a9/}
}
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V. O. Manturov. Invariants of classical braids valued in $G_{n}^{2}$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 137-146. http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a9/