tom Dieck, Tammo Über projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen. (German) Zbl 0466.57015 Manuscr. Math. 34, 135-155 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents 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 Keywords:projective modules in the category of functors from homogeneous spaces of a fixed group into abelian groups; projective class group of functors; finiteness obstructions for finitely dominated G-spaces with each fixed set simply connected PDFBibTeX XMLCite \textit{T. tom Dieck}, Manuscr. Math. 34, 135--155 (1981; Zbl 0466.57015) Full Text: DOI EuDML 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 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.