On surjective homomorphisms from a configuration space group to a surface group

DOI10.14492/hokmj/2021-526zbMath1530.14054MaRDI QIDQ6172005

Koichiro Sawada

Publication date: 18 July 2023

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/hokkaido-mathematical-journal/volume-52/issue-2/On-surjective-homomorphisms-from-a-configuration-space-group-to-a/10.14492/hokmj/2021-526.full

zbMATH Keywords

configuration spacefundamental grouphyperbolic curvesurjective homomorphism

Mathematics Subject Classification ID

Geometric group theory (20F65) Étale and other Grothendieck topologies and (co)homologies (14F20) Coverings of curves, fundamental group (14H30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Cites Work

• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• The algebraic and anabelian geometry of configuration spaces
• Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups
• Surjective homomorphisms between surface braid groups
• The universal n-pointed surface bundle only has n sections
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