Finite subgroups of mapping class groups of geometric 3-manifolds

Ken'ichi OHSHIKA

doi:10.2969/jmsj/03930447

Ken'ichi OHSHIKA

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ジャーナルフリー

1987 年 39 巻 3 号 p. 447-454

DOI https://doi.org/10.2969/jmsj/03930447

詳細

Published: 1987 Received: 1985/12/06 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Itiro Tamura on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) D. Epstein, Curves on 2-manifolds and isotopies, Acta Math., 115 (1966), 83-107.
2) S. Kerckhoff, The Nielsen realization problem, Ann, of Math., 117 (1983), 235-265.
3) P. Orlik, E. Vogt and H. Zieschang, Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten, Topology, 6 (1967), 49-64.
4) K. Ohshika, Teichmüller spaces of Seifert fibered manifolds with infinite π₁, to appear in Topology Appl., 1987.
5) F. Raymond and L. Scott, Failure of Nielsen's theorem in higher dimensions, Arch. Math., 29 (1977), 643-654.
6) P. Scott, Homotopy implies isotopy in some Seifert fibered manifolds, Topology, 24 (1985), 341-351.
7) P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
8) E. Vogt, Projecting isotopies of sufficiently large P²-irreducible 3-manifolds, Arch. Math, 29 (1977), 635-642.
9) F. Waldhausen, Eine Klasse von 3-dimensionalen Mannigfaltigkeiten II, Invent. Math., 4 (1967), 87-117.
10) H. Zieschang and B. Zimmermann, Endliche Gruppe von Abbildungsklassen gefaserter 3-Mannigfaltigkeiten, Math. Ann., 240 (1979), 41-62.
11) B. Zimmermann, Periodische Homöomorphismen Seifertscher Faserräume, Math. Z., 166 (1979), 289-297.
12) B. Zimmermann, Das Nielsensche Realisierungsproblem für hinreichend grosse 3-Mannigfaltigkeiten, Math. Z., 180 (1982), 349-359.
13) K. B. Lee and F. Raymond, The role of Seifert fiber spaces in transformation groups, Contemp. Math., 36 (1985), 367-425.
14) F. Raymond, The Nielsen theorem for Seifert fibered spaces over locally symmetric spaces, J. Korean Math. Soc., 16 (1979), 87-93.

Right : [1] D. Epstein, Curves on 2-manifolds and isotopies, Acta Math., 115 (1966), 83-107.
[2] S. Kerckhoff, The Nielsen realization problem, Ann, of Math., 117 (1983), 235-265.
[3] P. Orlik, E. Vogt and H. Zieschang, Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten, Topology, 6 (1967), 49-64.
[4] K. Ohshika, Teichmüller spaces of Seifert fibered manifolds with infinite π₁, to appear in Topology Appl., 1987.
[5] F. Raymond and L. Scott, Failure of Nielsen's theorem in higher dimensions, Arch. Math., 29 (1977), 643-654.
[6] P. Scott, Homotopy implies isotopy in some Seifert fibered manifolds, Topology, 24 (1985), 341-351.
[7] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), 401-487.
[8] E. Vogt, Projecting isotopies of sufficiently large P²-irreducible 3-manifolds, Arch. Math, 29 (1977), 635-642.
[9] F. Waldhausen, Eine Klasse von 3-dimensionalen Mannigfaltigkeiten II, Invent. Math., 4 (1967), 87-117.
[10] H. Zieschang and B. Zimmermann, Endliche Gruppe von Abbildungsklassen gefaserter 3-Mannigfaltigkeiten, Math. Ann., 240 (1979), 41-62.
[11] B. Zimmermann, Periodische Homöomorphismen Seifertscher Faserräume, Math. Z., 166 (1979), 289-297.
[12] B. Zimmermann, Das Nielsensche Realisierungsproblem für hinreichend grosse 3-Mannigfaltigkeiten, Math. Z., 180 (1982), 349-359.
[13] K. B. Lee and F. Raymond, The role of Seifert fiber spaces in transformation groups, Contemp. Math., 36 (1985), 367-425.
[14] F. Raymond, The Nielsen theorem for Seifert fibered spaces over locally symmetric spaces, J. Korean Math. Soc., 16 (1979), 87-93.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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