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Generating the Johnson filtration (Q2517173)

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Language	Label	Description	Also known as
English	Generating the Johnson filtration	scientific article

Statements

scholarly article

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Generating the Johnson filtration (English)

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Geometry \& Topology

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publication date

17 August 2015

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full work available at URL

https://arxiv.org/abs/1311.7150

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zbMATH Keywords

mapping class group

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Torelli group

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Johnson filtration

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automorphism group of free group

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FI-modules

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MaRDI profile type

MaRDI publication profile

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Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)

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Dimension of the Torelli group for \(\text{Out}(F_n)\).

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Mapping class groups and their relationship to braid groups

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FI-modules and stability for representations of symmetric groups

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FI-modules over Noetherian rings.

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Two mod-p Johnson filtrations

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The complex of partial bases for \(F_n\) and finite generation of the Torelli subgroup of \(\Aut(F_n)\).

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On the derivation algebra of the free Lie algebra and trace maps

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Configuration Spaces.

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Finite type 3-manifold invariants and the structure of the Torelli group. I

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Generating the Torelli group

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On injective homomorphisms between Teichmüller modular groups. I

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Homeomorphisms of a Surface which Act Trivially on Homology

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An abelian quotient of the mapping class group \(\mathfrak S\)

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The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)

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A survey of the Torelli group

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The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves

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The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)

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Über \(n\)-dimensionale Gittertransformationen

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Abelian quotients of the Teichmüller modular group

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Symplectic modulary groups

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Johnson filtration and Torelli group, modulo \(p,p\) a prime

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Two Theorems on the Mapping Class Group of a Surface

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Cutting and pasting in the Torelli group

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Small generating sets for the Torelli group

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Stability in the homology of congruence subgroups.

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On the Johnson filtration of the basis-conjugating automorphism group of a free group.

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On the lower central series of the IA-automorphism group of a free group.

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Homology and central series of groups

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Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥3

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Treue Darstellung Liescher Ringe.

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Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen

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Identifiers

zbMATH Open document ID

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10.2140/gt.2015.19.2217

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2517173

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