Lower central series of Artin-Tits and surface braid groups

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Abstract

We consider algebraic and topological generalisations of braid groups and pure braid groups, namely Artin-Tits groups (of spherical type) and surface (pure) braid groups, and we determine their lower central series and related residual properties. © 2007 Elsevier Inc. All rights reserved.

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Bellingeri, P., Gervais, S., & Guaschi, J. (2008). Lower central series of Artin-Tits and surface braid groups. Journal of Algebra, 319(4), 1409–1427. https://doi.org/10.1016/j.jalgebra.2007.10.023

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