Virtually cyclic dimension for 3-manifold groups

DOI10.4171/GGD/607zbMath1478.55009arXiv1904.04632OpenAlexW3157273152MaRDI QIDQ2245020

Kyle Joecken, Luis Jorge Sánchez Saldaña, Jean-François Lafont

Publication date: 12 November 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04632

zbMATH Keywords

classifying spacescohomological dimensionvirtually cyclic groupsgeometric dimension3-manifold groupsfamilies of subgroupsacylindrical splittings

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Geometric group theory (20F65) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Fundamental group, presentations, free differential calculus (57M05) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (3)

Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups ⋮ On the algebraic \(K\)-theory of orientable \(3\)-manifold groups ⋮ ON THE DIMENSION OF GROUPS THAT SATISFY CERTAIN CONDITIONS ON THEIR FINITE SUBGROUPS

Cites Work

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• Splitting formulas for certain Waldhausen Nil-groups
• Recent progress on the Poincaré conjecture and the classification of 3-manifolds
• The Geometries of 3-Manifolds

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