On Residual Properties of Pure Braid Groups of Closed Surfaces
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Publication:3638405
DOI10.1080/00927870802068664zbMath1170.20025arXiv0705.4201OpenAlexW2006091097MaRDI QIDQ3638405
Publication date: 2 July 2009
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.4201
Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Residual properties and generalizations; residually finite groups (20E26)
Related Items (8)
Lower central series, surface braid groups, surjections and permutations ⋮ Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature ⋮ Finite Quotients of Surface Braid Groups and Double Kodaira Fibrations ⋮ Surface framed braids. ⋮ Taylor expansions of groups and filtered-formality ⋮ Polynomial braid combing ⋮ Algebraic invariants of orbit configuration spaces in genus zero associated to finite groups ⋮ Lower central and derived series of semi-direct products, and applications to surface braid groups
Cites Work
- Ordering pure braid groups on compact, connected surfaces.
- The lower central series of a fiber-type arrangement
- Group rings and their augmentation ideals
- On presentations of surface braid groups.
- Lower central series of Artin-Tits and surface braid groups.
- Residual Properties of Infinite Soluble Groups
- Residual 𝑝 properties of mapping class groups and surface groups
- Vassiliev invariants for braids on surfaces
- The roots of the full twist for surface braid groups
- The universal finite-type invariant for braids, with integer coefficients
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