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On the structure of the centralizer of elements in Artin groups with arboreal structure. (Russian. English summary) Zbl 1431.20025

Summary: We describe the structure of a centralizer of elements in Artin groups with arboreal structure.

MSC:

20F36 Braid groups; Artin groups
20F65 Geometric group theory
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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
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[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
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[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
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