Rubinstein, J. H. Free actions of some finite groups on \(S^3\). I. (English) Zbl 0382.57019 Math. Ann. 240, 165-175 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 57S17 Finite transformation groups 55M35 Finite groups of transformations in algebraic topology (including Smith theory) Keywords:EMBEDDED KLEIN BOTTLE; FREE ACTIONS OF Z3-SPACE ON IRREDUCIBLE 3- MANIFOLDS; ORTHOGONAL ACTION; SEIFERT MANIFOLDS; DIHEDRAL ACTIONS; CLOSED IRREDUCIBLE ORIENTABLE 3-MANIFOLDS WITH A FINITE GROUP Citations:Zbl 0264.57012 PDFBibTeX XMLCite \textit{J. H. Rubinstein}, Math. Ann. 240, 165--175 (1979; Zbl 0382.57019) Full Text: DOI EuDML References: [1] Epstein, D.: Curves on 2-manifolds and isotopies. Acta Math.115, 83-107 (1966) · Zbl 0136.44605 [2] Heil, W.: 3-manifolds that are sums of solid tori and Seifert fibre spaces. Proc. Amer. Math. Soc.37, 609-614 (1973) · Zbl 0249.57004 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.