New presentations of surface braid groups

DOI10.1142/S0218216501000949zbMath1030.20024arXivmath/9910020OpenAlexW1980694977WikidataQ59275326 ScholiaQ59275326MaRDI QIDQ4541022

Juan González-Meneses

Publication date: 30 July 2002

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910020

zbMATH Keywords

algorithmspresentationsword problempure braid groupsclosed surfaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

Centralisers in Surface Braid Groups, On presentations of surface braid groups., Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence, PRESENTATIONS FOR THE MONOIDS OF SINGULAR BRAIDS ON CLOSED SURFACES, Crystallographic groups and flat manifolds from surface braid groups, Weakly framed surface configurations, Heisenberg homology, and mapping class group action, Fixed points of \(n\)-valued maps, the fixed point property and the case of surfaces -- a braid approach, Braids on surfaces and finite type invariants., POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS, Polynomial braid combing, BIRMAN'S CONJECTURE FOR SINGULAR BRAIDS ON CLOSED SURFACES, The braid groups of the projective plane and the Fadell-Neuwirth short exact sequence., Braids, their Properties and Generalizations, Vassiliev invariants for braids on surfaces, Homotopy of braids on surfaces: Extending Goldsmith’s answer to Artin, Lower central and derived series of semi-direct products, and applications to surface braid groups

Cites Work

• The braid groups of \(E^ 2\) and \(S^ 2\)
• An Exact Sequence of Braid Groups.