Two mod-p Johnson filtrations

DOI10.1142/S1793525315500120zbMath1316.57001arXiv1402.4186OpenAlexW2121444475MaRDI QIDQ5252300

James Cooper

Publication date: 29 May 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4186

zbMATH Keywords

lower central seriesmapping class group of a surfaceJohnson filtrationmod-\(p\) lower central series

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Teichmüller theory for Riemann surfaces (30F60) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (5)

Automorphisms of descending mod-\(p\) central series ⋮ Invariants of \(\mathbb{Z}/p\)-homology 3-spheres from the abelianization of the level-\(p\) mapping class group ⋮ Generalized Johnson homomorphisms for extended N-series ⋮ Generating the Johnson filtration ⋮ On the stable Andreadakis problem

Cites Work

• Unnamed Item
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• The Picard group of the moduli space of curves with level structures
• Johnson filtration and Torelli group, modulo \(p,p\) a prime
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• Homology and central series of groups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• The abelianization of the level d mapping class group
• Integral homology $3$-spheres and the Johnson filtration
• On the Automorphisms of Free Groups and Free Nilpotent Groups

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