This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
S. Araki, Equivariant Whitehead groups and G-expansion categories in Homotopy Theory and Related Topics, Advanced studies in Pure Mathematics 9, Kinokuniya, Tokyo (1987), 1–25.
H. Bass, The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups, Topology 4 (1966), 391–410.
M. M. Cohen, A course in simple homotopy theory, Graduate Texts in Math. 10, Springer-Verlag, 1973.
T. tom Dieck, Transformation Groups, de Gruyter Studies in Mathematics 8, Berlin; New York; de Gruyter, 1987.
K. H. Dovermann and M. Rothenberg, The Generalized Whitehead Torsion of a G Fibre Homotopy Equivalence, preprint.
H. Hauschild, Äquivariant Whiteheadtorsion, Manuscripta math., 26 (1978), 63–82.
S. Illman, Whitehead torsion and group actions, Ann. Acad. Sci. Fenn. Ser. AI 588 (1975), 1–44.
S. Illman, Actions of compact Lie groups and the equivariant Whitehead group, Osaka J. Math., 23 (1986), 881–927.
S. Illman, A product formula for equivariant Whitehead torsion and geometric applications, Transformation groups, Conf. Proc., Poznań, Lect. Notes In Math. Vol. 1217 (1986), 123–150.
J. Milnor, Whitehead torsion, Bull, Amer. Math. Soc. 72 (1966), 358–426.
P. Olum, Self-equivalences of pseudo-projective planes, Topology 4 (1965), 109–127.
P. Olum, Self-equivalences of pseudo-projective planes II, Topology 10 (1971), 257–260.
T. Petrie, Pseudo equivalences of G-manifolds, Proc. Symp. Pure Math. 32 (1978), 169–210.
M. Rothenberg, Torsion invariants and finite transformation groups, Proc. Symp. Pure Math. 32 (1978), 269–311.
G. Segal, Equivariant Stable homotopy, Proc. Internat. Congr. Math (Nice, 1970) Gauthiervillars, Paris, 1971, Vol. 2, 59–63.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Inoue, T. (1989). The equivariant whitehead torsions of equivariant homotopy equivalences between the unit spheres of representations of cyclic groups. In: Kawakubo, K. (eds) Transformation Groups. Lecture Notes in Mathematics, vol 1375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085603
Download citation
DOI: https://doi.org/10.1007/BFb0085603
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51218-9
Online ISBN: 978-3-540-46178-4
eBook Packages: Springer Book Archive
