The Nielsen realization problem

DOI10.1090/S0273-0979-1980-14764-3zbMath0434.57007OpenAlexW2120931169WikidataQ29013325 ScholiaQ29013325MaRDI QIDQ5904372

Steven P. Kerckhoff

Publication date: 1980

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1980-14764-3

zbMATH Keywords

Teichmüller spacemodular groupmapping class group of a surfaceNielsen realization problemrealizing finite subgroups of the order automorphism group of surface groups by groups of diffeomorphisms

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential topology (57R99) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Riemann surfaces (30F99)

Related Items

The characteristic toric splitting of irreducible compact 3-orbifolds, ROOTS OF DEHN TWISTS ABOUT MULTICURVES, Dirichlet's energy on Teichmüller's moduli space and the Nielsen realization problem, Double branched covers of tunnel number one knots, Roots of Dehn twists, Über Erweiterungen von Z und \(Z_ 2*Z_ 2\) durch nichteuklidische kristallographische Gruppen, Das Nielsensche Realisierungsproblem für hinreichend große 3- Mannigfaltigkeiten, On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces, Realisation and dismantlability, Plane motion groups and virtual Poincaré duality of dimension two, The classification and the conjugacy classes of the finite subgroups of the sphere braid groups., Nielsen realization by gluing: limit groups and free products, A Glimpse into Thurston’s Work, Canonical mappings between Teichmüller spaces, Braid groups and mapping class groups: The Birman–Hilden theory, Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

Cites Work

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• Abbildungsklassen endlicher Ordnung