Geodesic
Solution of the problem of equality and conjugacy of words in a~certain class of Artin groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 9-27

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The article defines Artin groups with $m$-gon structure and proves that for $m>3$ in this class the problems of equality and conjugacy of words are solvable. 
@article{FPM_2019_22_4_a1,
     author = {V. N. Bezverkhnii and N. B. Bezverkhnyaya},
     title = {Solution of the problem of equality and conjugacy of words in a~certain class of {Artin} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {9--27},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a1/}
}
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V. N. Bezverkhnii; N. B. Bezverkhnyaya. Solution of the problem of equality and conjugacy of words in a~certain class of Artin groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 9-27. http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a1/