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Free actions of some finite groups on \(S^3\). I. (English) Zbl 0382.57019


MSC:

57S17 Finite transformation groups
55M35 Finite groups of transformations in algebraic topology (including Smith theory)

Citations:

Zbl 0264.57012
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References:

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[3] Lee, R.: Semicharacteristic classes. Topology12, 183-200 (1973) · Zbl 0264.57012
[4] Livesay, G.: Fixed point free involutions on the 3-sphere. Ann. of Math.72, 603-611 (1960) · Zbl 0096.17302
[5] Madsen, I., Thomas, C.B., Wall, C.T.C.: The topological spherical space form problem. Il. Existence for free actions. Topology15, 375-382 (1976) · Zbl 0348.57019
[6] Orlik, P.: Seifert manifolds. Lecture notes in mathematics 291. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0263.57001
[7] Petrie, T.: Free metacyclic group actions on homotopy spheres. Ann. of Math.94, 108-124 (1971) · Zbl 0224.57020
[8] Rice, P.: Free actions ofZ 4 onS 3. Duke Math. J.36, 749-751 (1969) · Zbl 0184.27402
[9] Ritter, G.: Free actions ofZ 8 onS 3. Trans. Amer. Math. Soc.181, 195-212 (1973) · Zbl 0264.57016
[10] Rubinstein, J.H.: On 3-manifolds that have finite fundamental group and contain Klein bottles. Trans. Amer. Math. Soc. (to appear) · Zbl 0414.57005
[11] Thomas, C.B.: On Poincar? 3-complexes with binary polyhedral fundamental group. Math. Ann.226, 207-221 (1977) · Zbl 0345.57017
[12] Thomas, C.B.: Homotopy classification of free actions by finite groups onS 3 (to appear)
[13] Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. of Math.87, 56-88 (1968) · Zbl 0157.30603
[14] Wolf, J.: Spaces of constant curvature. New York: MacGraw-Hill 1967 · Zbl 0162.53304
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