On the residual nilpotence of pure Artin groups

DOI10.1515/JGT.2006.031zbMath1103.20035arXivmath/0502120OpenAlexW2046074491MaRDI QIDQ5480607

Ivan Marin

Publication date: 3 August 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502120

zbMATH Keywords

finite Coxeter groupsresidual nilpotencepure Artin groupsKrammer-Digne representation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Residual properties and generalizations; residually finite groups (20E26)

Related Items

The center of pure complex braid groups. ⋮ Krammer representations for complex braid groups. ⋮ On the generic Krammer representations. ⋮ Lower central series of Artin-Tits and surface braid groups. ⋮ Basic results on braid groups. ⋮ Combinatorial properties of virtual braids.

Cites Work

• The lower central series of a fiber-type arrangement
• The \(D_ n\) generalized pure braid group
• On the linearity of Artin braid groups.
• Linearity of Artin groups of finite type.
• On the injectivity of the Braid group in the Hecke algebra

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