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References
D. Anderson, The Whitehead Torsion of the Total Space of a Fibre Bundle, Topology 11 (1972), 179–194.
D. Anderson, The Whitehead Torsion of a Fiber Homotopy Equivalence, Michigan Math. J 21 (1974), 171–180.
S. Araki, Private Notes.
G. Bredon, “Equivariant Cohomology Theories,” Lecture Notes in Mathematics Vol. 34, Springer, 1967.
T. tomDieck, The Burnside Ring of a Compact Lie Group I, Math. Annalen 215 (1975), 235–250.
K. H. Dovermann, Even Dimensional Smith Equivalent Representations, in Algebraic Topology, Åarhus 1982, Springer Lecture Notes in Mathematics 1051 (1983), 587–602.
K. H. Dovermann, Almost Isovariant Normal Maps, preprint.
K. H. Dovermann and M. Masuda, Exotic Cyclic Actions on Homotopy Complex Projective Spaces, preprint.
K. H. Dovermann and T. Petrie, G Surgery II, Memoirs of the Amer. Math. Soc. 260 (1982).
K. H. Dovermann and M. Rothenberg, An Algebraic Approach to the Generalized Whitehead Group, in Transformation Groups, Poznań 1985, Springer Lecture Notes in Mathematics 1217 (1986), 92–114.
K. H. Dovermann and M. Rothenberg, Poincaré Duality and Generalized Whitehead Torsion, preprint.
K. H. Dovermann and M. Rothenberg, Equivariant Surgery and Classification of Finite Group Actions on Manifolds, Memoirs of the Amer. Math. Soc. 397 (1988).
S. Illman, Whitehead Torsion and Group Actions, Annales Academie Scieniarum Fennicae 588 (1974).
S. Illman, A Product Formula for Equivariant Whitehead Torsion, in Transformation Groups, Poznań 1985, Springer Lecture Notes in Mathematics 1217 (1986), 123–142.
S. Illman, Smooth Triangulations of G Manifolds for a Finite Group G, Math. Ann. 233 (1978), 199–220.
K. W. Kwun and R. H. Szczarba, Product and Sum Theorems for Whitehead Torsion, Annales of Mathematics 82 (1965), 183–190.
T. Y. Lam, Induction Theorems for Grothendieck Groups and Whitehead Groups of Finite Groups, Ann. Ec. Norm. Sup (1) 1 (1968), 91–148.
R. Lashof and M. Rothenberg, G Smoothing Theory, Proc. of Symp. in Pure Math. XXXII (1978), 211–266.
W. Lück, Private Communication.
I. Madsen and M. Rothenberg, On the Classification of G Spheres II: PL Automorphism Groups, Åarhus Preprint Series 2 (August 1985).
M. Masuda and Y. D. Tsai, Tangential Representations of Cyclic Group Actions on Homotopy Complex Projective Spaces, Osaka J. of Math. 22 (1985), 907–919.
J. Milnor, Whitehead Torsion, Bull. Amer. Math. Soc. 72 (1966), 358–426.
M. Morimoto, G-maps and Tangential Representations at Fixed Points of G Manifolds, J. Math. Soc. Japan 38 (1986), 239–259.
T. Petrie, Smith Equivalences of Representations, Math. Proc. Camb. Phil. Soc. 94 (1983), 61–99.
M. Rothenberg, Torsion Invariants and Finite Transformation Groups, Proc. of Symp. in Pure Math. XXXII (1978), 267–311.
A. Siegel, Fixed Point Representations of Group Actions on Spheres, Thesis, Rutgers University (1982).
D. Y. Suh, s-Smith Equivalence of Representations, Thesis, Rutgers University (1984).
R. Swan, “K-Theory of Finite Groups and Orders,” Lecture Notes in Mathematics Vol. 149, Springer, 1970.
Y. D. Tsai“ Thesis, Rutgers University (1985).
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Dovermann, K.H., Rothenberg, M. (1989). The generalized whitehead torsion of a g fibre homotopy equivalence. In: Kawakubo, K. (eds) Transformation Groups. Lecture Notes in Mathematics, vol 1375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085600
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DOI: https://doi.org/10.1007/BFb0085600
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