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Finite groups acting on 3–manifolds and cyclic branched coverings of knots

Mattia Mecchia

Geometry & Topology Monographs 14 (2008) 393–416

DOI: 10.2140/gtm.2008.14.393

Bibliography
1 M Boileau, B Leeb, J Porti, Geometrization of 3-dimensional orbifolds, Ann. of Math. (2) 162 (2005) 195–290 MR2178962
2 M Boileau, L Paoluzzi, B Zimmermann, A characterisation of S³ among homology spheres arXiv:math.GT/0606220
3 J H Conway, R T Curtis, S P Norton, R A Parker, R A Wilson, Atlas of finite groups, Oxford University Press (1985) MR827219 Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. G. Thackray
4 D Cooper, D D Long, Free actions of finite groups on rational homology 3-spheres, Topology Appl. 101 (2000) 143–148 MR1732066
5 R M Dotzel, G C Hamrick, p-group actions on homology spheres, Invent. Math. 62 (1981) 437–442 MR604837
6 C M Gordon, Knots whose branched cyclic coverings have periodic homology, Trans. Amer. Math. Soc. 168 (1972) 357–370 MR0295327
7 D Gorenstein, The classification of finite simple groups. Vol. 1, The University Series in Mathematics, Plenum Press (1983) MR746470 Groups of noncharacteristic 2 type
8 D Gorenstein, R Lyons, R Solomon, The classification of the finite simple groups, Mathematical Surveys and Monographs 40, American Mathematical Society (1994) MR1303592
9 D Gorenstein, R Lyons, R Solomon, The classification of the finite simple groups. Number 2. Part I. Chapter G, Mathematical Surveys and Monographs 40, American Mathematical Society (1996) MR1358135 General group theory
10 M Mecchia, How hyperbolic knots with homeomorphic cyclic branched coverings are related, Topology Appl. 121 (2002) 521–533 MR1909006
11 M Mecchia, B Zimmermann, On finite groups acting on Z2-homology 3-spheres, Math. Z. 248 (2004) 675–693 MR2103536
12 M Mecchia, B Zimmermann, On finite simple groups acting on integer and mod 2 homology 3-spheres, J. Algebra 298 (2006) 460–467 MR2217622
13 R J Milgram, Evaluating the Swan finiteness obstruction for periodic groups, from: "Algebraic and geometric topology (New Brunswick, N.J., 1983)", Lecture Notes in Math. 1126, Springer (1985) 127–158 MR802788
14 J Milnor, Groups which act on Sn without fixed points, Amer. J. Math. 79 (1957) 623–630 MR0090056
15 G Perelman, The entropy formula for the Ricci flow and its geometric applications arXiv:math.DG/0211159
16 G Perelman, Ricci flow with surgery on three-manifolds arXiv:math.DG/0303109
17 M Reni, On π-hyperbolic knots with the same 2-fold branched coverings, Math. Ann. 316 (2000) 681–697 MR1758448
18 M Reni, B Zimmermann, Finite simple groups acting on 3-manifolds and homology spheres, Rend. Istit. Mat. Univ. Trieste 32 (2001) MR1893403 Dedicated to the memory of Marco Reni
19 M Reni, B Zimmermann, Hyperbolic 3-manifolds as cyclic branched coverings, Comment. Math. Helv. 76 (2001) 300–313 MR1839348
20 M Reni, B Zimmermann, On hyperelliptic involutions of hyperbolic 3-manifolds, Math. Ann. 321 (2001) 295–317 MR1866490
21 M Sakuma, Homology of abelian coverings of links and spatial graphs, Canad. J. Math. 47 (1995) 201–224 MR1319696
22 M Suzuki, Group theory. I, Grundlehren series 247, Springer (1982) MR648772 Translated from the Japanese by the author
23 M Suzuki, Group theory. II, Grundlehren series 248, Springer (1982) MR815926 Translated from the Japanese by the author
24 W Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
25 B Zimmermann, On the classification of finite groups acting on homology 3-spheres, Pacific J. Math. 217 (2004) 387–395 MR2109941