Platonova, O. Yu.; Bezverkhniĭ, V. N. On the structure of the centralizer of elements in Artin groups with arboreal structure. (Russian. English summary) Zbl 1431.20025 Chebyshevskiĭ Sb. 14, No. 3(47), 100-120 (2013). Summary: We describe the structure of a centralizer of elements in Artin groups with arboreal structure. Cited in 1 Review MSC: 20F36 Braid groups; Artin groups 20F65 Geometric group theory Keywords:Artin group with arboreal structure; diagram; area PDFBibTeX XMLCite \textit{O. Yu. Platonova} and \textit{V. N. Bezverkhniĭ}, Chebyshevskiĭ Sb. 14, No. 3(47), 100--120 (2013; Zbl 1431.20025) Full Text: MNR References: [1] Appel K., Schupp P., “Artin groups and infinite Coxeter groups”, Invent. Math., 72 (1983), 201—220 · Zbl 0536.20019 · doi:10.1007/BF01389320 [2] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 · Zbl 0544.20031 [3] Bezverkhnii V. N., Karpova O. Yu., “Problemy ravenstva i sopryazhennosti slov v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Ser. Matematika. Mekhanika. Informatika, 12:1 (2006), 67-82 [4] Bezverkhnii V. N., Karpova O. Yu., “O kruchenii v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Estestvennye nauki, 2008, no. 2, 6-17 [5] Bezverkhnii V. N., Karpova O. Yu., “Reshenie problemy stepennoi sopryazhennosti v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Estestvennye nauki. Estestvennye nauki, 2009, no. 3, 42-59 [6] Platonova O. Yu., “O strukture tsentralizatora elementov edinichnoi slogovoi dliny v gruppakh Artina s drevesnoi strukturoi”, Chebyshevskii sbornik, 11:2(34) (2010), 73-84 · Zbl 1274.20035 [7] Platonova O. Yu., “Problema peresecheniya tsiklicheskikh podgrupp v gruppakh Artina s drevesnoi strukturoi”, Chebyshevskii sbornik, 11:2(34) (2010), 85-96 · Zbl 1274.20036 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.