Lower central series, surface braid groups, surjections and permutations (Q5063192)

scientific article; zbMATH DE number 7492569

Language	Label	Description	Also known as
English	Lower central series, surface braid groups, surjections and permutations	scientific article; zbMATH DE number 7492569

Statements

instance of

scholarly article

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title

Lower central series, surface braid groups, surjections and permutations (English)

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author

Paolo Bellingeri

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John Guaschi

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Daciberg Lima Gonçalves

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published in

Mathematical Proceedings of the Cambridge Philosophical Society

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publication date

17 March 2022

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full work available at URL

https://arxiv.org/abs/1810.12214

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zbMATH Keywords

braid groups

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lower central series

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mapping class group

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permutations

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primitive representations

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surface braid group

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symmetric group

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MaRDI profile type

MaRDI publication profile

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cites work

Automorphisms of braid groups on orientable surfaces

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Injections of mapping class groups

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Homomorphisms between mapping class groups

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Theory of braids

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Braids and permutations

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On Residual Properties of Pure Braid Groups of Closed Surfaces

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Automorphisms of pure braid groups

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Braid groups and the co-Hopfian property.

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On presentations of surface braid groups.

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ON AUTOMORPHISMS OF SURFACE BRAID GROUPS

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On $p$-almost direct products and residual properties of pure braid groups of nonorientable surfaces

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Lower central series of Artin-Tits and surface braid groups.

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ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS

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Finite index subgroups of mapping class groups

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Geometric representations of the braid groups

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Surjective homomorphisms between surface braid groups

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Finite quotients of braid groups

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The Automorphism Groups of the Braid Groups

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The braid groups of $E^ 2$ and $S^ 2$

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The lower central series of a fiber-type arrangement

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The Braid Groups.

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Factor groups of the lower central series for spherical free products

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The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere

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On the structure of surface pure braid groups.

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The roots of the full twist for surface braid groups

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The braid groups of the projective plane.

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THE BRAID GROUP $B_{n,m}(\mathbb{S}^{2})$ AND A GENERALISATION OF THE FADELL–NEUWIRTH SHORT EXACT SEQUENCE

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The quaternion group as a subgroup of the sphere braid groups

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The lower central and derived series of the braid groups of the sphere

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Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence

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The lower central and derived series of the braid groups of the projective plane.

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Surface braid groups and coverings

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Minimal generating and normally generating sets for the braid and mapping class groups of $\mathbb D^2$, $\mathbb S^2$ and $\mathbb RP^2$.

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Residual Properties of Infinite Soluble Groups

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Lower central and derived series of semi-direct products, and applications to surface braid groups

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PERMUTATION REPRESENTATIONS OF BRAID GROUPS OF SURFACES

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Q4365977

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Série de Poincaré-Koszul associée aux groupes de tresses pures

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On the descending central series of groups with a single defining relation

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Q4658185

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Seifert Fibre Spaces and Braid Groups

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Geometric subgroups of surface braid groups

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Geometric subgroups of mapping class groups

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Combinatorial rigidity in curve complexes and mapping class groups

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Braid Groups of Compact 2-Manifolds with Elements of Finite Order

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Identifiers

zbMATH Open document ID

1497.20043

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DOI

10.1017/S0305004121000244

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5063192