Cohomology rings of almost-direct products of free groups

DOI10.1112/S0010437X09004424zbMath1237.20048arXiv0811.1330OpenAlexW3101960196MaRDI QIDQ3552182

Daniel C. Cohen

Publication date: 13 April 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1330

zbMATH Keywords

cohomology ringstopological complexityEilenberg-MacLane spacesfinitely generated free groupsiterated semidirect productsalmost-direct products

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (4)

Chen ranks and resonance ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Discriminantal bundles, arrangement groups, and subdirect products of free groups ⋮ New lower bounds for the topological complexity of aspherical spaces

Cites Work

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• Gotzmann theorems for exterior algebras and combinatorics
• Homology of iterated semidirect products of free groups
• The cohomology ring of the colored braid group
• Topological complexity of motion planning
• Instabilities of robot motion
• Orlik-Solomon algebras in algebra and topology
• Koszul Algebras from Graphs and Hyperplane Arrangements

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