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On the Nielsen type and the classification for the mapping class group. (English) Zbl 0474.57005

MSC:
57M99 General low-dimensional topology
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57R50 Differential topological aspects of diffeomorphisms
30F99 Riemann surfaces
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
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[1] Ahlfors, L, Lectures on quasiconformal mappings, () · Zbl 0138.06002
[2] Poénaru, Traveaux de Thurston, Asterix, (1980), in press
[3] \scL. Bers, An extremal problem for quasiconformal mappings and a theorem of Thurston, Acta Math., in press. · Zbl 0389.30018
[4] Bers, L, Nielsen extensions of Riemann surfaces, Ann. acad. sci. fenn., 2, 29-34, (1976) · Zbl 0352.30014
[5] Ford, L, Automorphic functions, (1951), Chelsea New York · Zbl 1364.30001
[6] \scR. Miller, to appear.
[7] Nielsen, J, Surface transformation classes of algebraically finite type, Math.-fys. medd. danske vid. selsk. XXI, 2, 1-89, (1944)
[8] Neilsen, J; Neilsen, J; Neilsen, J, Untersuchungen zur topologie der geschlossenen zweiseitigen flächen, parts I-III, Acta math., Acta math., Acta. math., 58, 87-167, (1932) · JFM 58.0613.01
[9] Nielsen, J, Über gruppen linearer transformationen, Mitt. math. gesellsch. Hamburg, 8, 82-104, (1940) · JFM 66.0085.04
[10] Nielsen, J, Abbildungskalssen endlicher ordnung, Acta math., 75, 23-115, (1942) · Zbl 0027.26601
[11] Nielsen, J, Die struktur periodischer transformationen von flächen, Math.-fys. medd. danske vidensk. selsk. XV, 1, 1-77, (1937) · JFM 63.0553.03
[12] Nielsen, J, Einige Sātz über topologische flächenabbildungen, Acta litt. sci. Szeged, 7, 200-205, (1935) · JFM 61.1354.01
[13] Nielsen, J, Fixpunktfrie afbildninger, Mat. tidsskr. B, (1942)
[14] Nielsen, J, Om topologiske afbildninger af en jordankurve paa sig selv, Mat. tidsskr. B, (1928) · JFM 54.0626.01
[15] \scW. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, I, to appear.
[16] Zimmerman, B, Abbildungsklassen von flächen, (1974), Diplomarbeit Bochum
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