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Über projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen. (German) Zbl 0466.57015


MSC:

57S10 Compact groups of homeomorphisms
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
55M35 Finite groups of transformations in algebraic topology (including Smith theory)
18E05 Preadditive, additive categories
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References:

[1] Bredon, G. E.: Equivariant Cohomology Theories. Lecture Notes in Math. 34. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0162.27202
[2] tom Dieck, T.: Transformation Groups and Representation Theory. Lecture Notes in Math. 766. Berlin-Heidelberg-New York: Springer 1979 · Zbl 0445.57023
[3] tom Dieck, T., and T. Petrie: The Homotopy Structure of Finite Group Actions on Spheres. In: Algebraic Topology Waterloo 1978, p. 222-243. Lecture Notes in Math. 741. Berlin-Heidelber-New York: Springer 1979 · Zbl 0389.57008
[4] tom Dieck, T., and T. Petrie: Homotopy Representations of Finite Groups. In preparation · Zbl 0507.57025
[5] Hauschild, H.: Äquivariante Whiteheadtorsion. Manuscripta math.26, 63-82 (1978) · Zbl 0402.57031 · doi:10.1007/BF01167967
[6] James, I. M., and G. B. Segal: On Equivariant Homotopy Type. Topology17, 267-272 (1976) · Zbl 0403.57007 · doi:10.1016/0040-9383(78)90030-7
[7] Quinn, I.: Finite Nilpotent Group Actions on Finite Complexes. In: Geometric Applications to Homotopy Theory I. Lecture Notes in Math. 657. Berlin-Heidelberg-New York: Springer 1968
[8] Rothenberg, M.: Torsion Invariants and Finite Transformation Groups. In: Algebraic and Geometric Topology. AMS Proc. of Symp. in Pure Math. 32 Part 1, 267-311 (1978) · Zbl 0426.57013
[9] Swan, R. G.: Induced Representations and Projective Modules. Ann. of Math.71, 552-578 (1960) · Zbl 0104.25102 · doi:10.2307/1969944
[10] Swan, R. G.: Periodic Resolutions for Finite Groups. Ann of Math.72, 267-291 (1960) · Zbl 0096.01701 · doi:10.2307/1970135
[11] Wall, C. T. C.: Finiteness Conditions for CW-Complexes. Ann of Math,81, 56-69 (1965) · Zbl 0152.21902 · doi:10.2307/1970382
[12] Wall C. T. C.: Finiteness Conditions for CW-Complexes II. Proc. Roy. Soc. Ser. A295, 129-139 (1966) · doi:10.1098/rspa.1966.0230
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