Lower central and derived series of semi-direct products, and applications to surface braid groups
From MaRDI portal
Publication:2301472
DOI10.1016/j.jpaa.2020.106309zbMath1452.20033OpenAlexW3000037127MaRDI QIDQ2301472
Carolina de Miranda e Pereiro, John Guaschi
Publication date: 24 February 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106309
Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)
Related Items
Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting), Lower central series, surface braid groups, surjections and permutations, On residual nilpotence of group extensions, Embeddings and the (virtual) cohomological dimension of the braid and mapping class groups of surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(p\)-almost direct products and residual properties of pure braid groups of nonorientable surfaces
- Inclusion of configuration spaces in Cartesian products, and the virtual cohomological dimension of the braid groups of \(\mathbb{S}^2\) and \(\mathbb{R}P^2\)
- The lower central and derived series of the braid groups of the projective plane.
- Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence
- Série de Poincaré-Koszul associée aux groupes de tresses pures
- The lower central series of a fiber-type arrangement
- Factor groups of the lower central series for spherical free products
- Geometric subgroups of surface braid groups
- On presentations of surface braid groups.
- Lower central series of Artin-Tits and surface braid groups.
- On the descending central series of groups with a single defining relation
- Homotopy groups of configuration spaces and the string problem of Dirac
- The braid groups of \(E^ 2\) and \(S^ 2\)
- On the algebraical braid group
- Residual Properties of Infinite Soluble Groups
- Residual 𝑝 properties of mapping class groups and surface groups
- The lower central and derived series of the braid groups of the sphere
- On Residual Properties of Pure Braid Groups of Closed Surfaces
- Seifert Fibre Spaces and Braid Groups
- New presentations of surface braid groups
- On homomorphisms onto finite groups
- THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE
- Configuration Spaces.
- Braid Groups of Compact 2-Manifolds with Elements of Finite Order
- On braid groups
- The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
- ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
- The Braid Groups.