The Zieschang–McCool method for generating algebraic mapping-class groups

DOI10.1515/gcc.2011.007zbMath1278.20043arXiv1104.5451OpenAlexW3104825298MaRDI QIDQ2884684

Warren Dicks, Lluís Bacardit

Publication date: 18 May 2012

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5451

zbMATH Keywords

generating setsautomorphisms of free groupsalgebraic mapping-class groupsZieschang groupoids

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

An effective algebraic detection of the Nielsen–Thurston classification of mapping classes

Cites Work

• Generating the mapping class group. (An algebraic approach)
• Automorphism subgroups of finite index in algebraic mapping class groups
• Über Automorphismen von Fundamentalgruppen berandeter Flächen
• Curves von 2-manifolds and isotopies
• Über Automorphismen ebener diskontinuierlicher Gruppen
• Alternierende Produkte in freien Gruppen. II
• On the homeotopy groups of surfaces
• On equivalent sets of elements in a free group
• Actions of the Braid Group, and New Algebraic Proofs of Results of Dehornoy and Larue
• Mapping class groups and their relationship to braid groups
• Alternierende Produkte in freien Gruppen
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)
• Presentations for the punctured mapping class groups in terms of Artin groups

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