The Nielsen realization problem. (English) Zbl 0434.57007


57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57S25 Groups acting on specific manifolds
57R99 Differential topology
30F99 Riemann surfaces
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
Full Text: DOI


[1] W. Fenchel, Estensioni di gruppi discontinui e trasformazioni periodiche delle superficie, Atti Accad. Naz Lincei. Rend. Cl. Sci. Fis. Mat. Nat.(8) 5 (1948), 326 – 329 (Italian). · Zbl 0036.12902
[2] Saul Kravetz, On the geometry of Teichmüller spaces and the structure of their modular groups, Ann. Acad. Sci. Fenn. Ser. A I No. 278 (1959), 35. · Zbl 0168.04601
[3] Howard Masur, On a class of geodesics in Teichmüller space, Ann. of Math. (2) 102 (1975), no. 2, 205 – 221. · Zbl 0322.32010 · doi:10.2307/1971031
[4] Jakob Nielsen, Abbildungsklassen endlicher Ordnung, Acta Math. 75 (1943), 23 – 115 (German). · Zbl 0027.26601 · doi:10.1007/BF02404101
[5] W. Thurston, The geometry and topology of 3-manifolds (preprint).
[6] H. Zieschang, Lecture Notes in Math. (to appear).
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