On the virtually cyclic dimension of mapping class groups of punctured spheres

DOI10.2140/agt.2018.18.2471zbMath1494.20056arXiv1708.03709OpenAlexW2746810409WikidataQ129879953 ScholiaQ129879953MaRDI QIDQ1748450

Alejandra Trujillo-Negrete, Javier Aramayona, Daniel Juan-Pineda

Publication date: 11 May 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03709

zbMATH Keywords

mapping class groupgeometric dimensionvc-dimension

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Topological methods in group theory (57M07) Knot theory (57K10)

Related Items (1)

Bredon homology of Artin groups of dihedral type

Cites Work

• Unnamed Item
• The proper geometric dimension of the mapping class group
• On the classifying space of the family of virtually cyclic subgroups
• Realisation and dismantlability
• Bredon cohomological dimensions for groups acting on CAT(0)-spaces
• The virtual cohomological dimension of the mapping class group of an orientable surface
• The type of the classifying space for a family of subgroups
• Chains of subgroups in symmetric groups
• On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
• Geometric dimension of groups for the family of virtually cyclic subgroups
• Roots in the mapping class groups
• Finite and infinite cyclic extensions of free groups
• A bound for the Bredon cohomological dimension

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