Lower central series, surface braid groups, surjections and permutations
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Publication:5063192
DOI10.1017/S0305004121000244zbMath1497.20043arXiv1810.12214MaRDI QIDQ5063192
John Guaschi, Paolo Bellingeri, Daciberg Lima Gonçalves
Publication date: 17 March 2022
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12214
permutationsbraid groupssymmetric groupmapping class groupsurface braid grouplower central seriesprimitive representations
Braid groups; Artin groups (20F36) Derived series, central series, and generalizations for groups (20F14) Primitive groups (20B15)
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Cites Work
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- On \(p\)-almost direct products and residual properties of pure braid groups of nonorientable surfaces
- The lower central and derived series of the braid groups of the projective plane.
- Finite quotients of braid groups
- Injections of mapping class groups
- Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence
- Combinatorial rigidity in curve complexes and mapping class groups
- 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
- Automorphisms of pure braid groups
- The braid groups of the projective plane.
- On presentations of surface braid groups.
- Homomorphisms between mapping class groups
- Minimal generating and normally generating sets for the braid and mapping class groups of \(\mathbb D^2\), \(\mathbb S^2\) and \(\mathbb RP^2\).
- Lower central and derived series of semi-direct products, and applications to surface braid groups
- Surjective homomorphisms between surface braid groups
- Lower central series of Artin-Tits and surface braid groups.
- Braid groups and the co-Hopfian property.
- On the descending central series of groups with a single defining relation
- The braid groups of \(E^ 2\) and \(S^ 2\)
- Theory of braids
- Braids and permutations
- Automorphisms of braid groups on orientable surfaces
- Geometric representations of the braid groups
- Surface braid groups and coverings
- ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS
- PERMUTATION REPRESENTATIONS OF BRAID GROUPS OF SURFACES
- Residual Properties of Infinite Soluble Groups
- ON AUTOMORPHISMS OF SURFACE BRAID GROUPS
- The lower central and derived series of the braid groups of the sphere
- On Residual Properties of Pure Braid Groups of Closed Surfaces
- The Automorphism Groups of the Braid Groups
- Seifert Fibre Spaces and Braid Groups
- The roots of the full twist for surface braid groups
- Geometric subgroups of mapping class groups
- The quaternion group as a subgroup of the sphere braid groups
- Finite index subgroups of mapping class groups
- THE BRAID GROUP $B_{n,m}(\mathbb{S}^{2})$ AND A GENERALISATION OF THE FADELL–NEUWIRTH SHORT EXACT SEQUENCE
- Braid Groups of Compact 2-Manifolds with Elements of Finite Order
- The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
- The Braid Groups.
- On the structure of surface pure braid groups.
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