The genus 2 Torelli group is not finitely generated

DOI10.1016/0166-8641(86)90076-3zbMath0579.57007OpenAlexW2042948513MaRDI QIDQ1067258

Andy Miller, Darryl McCullough

Publication date: 1986

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90076-3

zbMATH Keywords

mapping class groupDehn twistsTorelli groupclosed orientable surfacenot finitely generated

Mathematics Subject Classification ID

Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Differential topological aspects of diffeomorphisms (57R50)

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Cites Work

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• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• IA-automorphisms of the free metabelian group of rank 3
• On Siegel's modular group
• A survey of the Torelli group
• [https://portal.mardi4nfdi.de/wiki/Publication:3658196 E 2 � SL 2 for Most Laurent Polynomial Rings]
• Two Theorems on the Mapping Class Group of a Surface