Pure braid group presentations via longest elements

DOI10.1016/j.jalgebra.2023.02.033zbMath1514.20131arXiv2208.02120OpenAlexW4361219297MaRDI QIDQ6038495

Caroline Namanya

Publication date: 2 May 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02120

zbMATH Keywords

pure braid groupsCoxeter arrangementslongest elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• The liftable mapping class group of balanced superelliptic covers
• Braid groups and Kleinian singularities
• Palindromic braids.
• Twists and braids for general 3-fold flops
• The braid groups of \(E^ 2\) and \(S^ 2\)
• Theory of braids
• GEOMETRIC PRESENTATIONS FOR THE PURE BRAID GROUP
• Presentation of pure braid groups
• THE BRAID GROUP AND OTHER GROUPS
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