This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Cohen, A course in simple-homotopy theory, Graduate Texts in Math. 10, Springer-Verlag, 1973.
T. tom Dieck, Über projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen, Manuscripta Math. 34 (1981), 135–155.
T. tom Dieck and T. Petrie, Homotopy representations of finite groups, Inst. Hautes Études Sci. Publ. Math. No. 56 (1983), 337–377.
K.H. Dovermann and M. Rothenberg, The generalized Whitehead torsion of a G fibre homotopy equivalence. (Preprint, 1984).
H. Hauschild, Äquivariante Whiteheadtorsion, Manuscripta Math. 26 (1978), 63–82.
S. Illman, Equivariant singular homology and cohomology for actions of compact Lie groups, in Proceedings of the Second Conference on Compact Transformation Groups (Univ. of Massachusetts, Amherst, 1971), Lecture Notes in Math., Vol. 298, Springer-Verlag, 1972, pp. 403–415.
S. Illman, Whitehead torsion and group actions, Ann. Acad. Sci. Fenn. Ser. A I 588 (1974), 1–44.
S. Illman, Actions of compact Lie groups and the equivariant Whitehead group, to appear in Osaka J. Math. (Almost identical with the preprint: Actions of compact Lie groups and equivariant Whitehead torsion, Purdue University 1983.)
S. Illman, Equivariant Whitehead torsion and actions of compact Lie groups, in Group Actions on Manifolds, Contemp. Math. Amer. Math. Soc. 36 (1985), pp. 91–106.
K.W. Kwun and R.H. Szczarba, Product and sum theorems for Whitehead torsion, Ann. of Math. 82 (1965), 183–190.
W. Lück, Seminarbericht "Transformationsgruppen und algebraische K-Theorie", Göttingen, 1982/83.
W. Lück, The Geometric Finiteness Obstruction, Mathematica Göttingensis, Heft 25 (1985).
T. Matumoto, On G — CW complexes and a theorem of J.H.C. Whitehead, J. Fac. Sci. Univ. Tokyo Sect. I A Math. Vol. 18 (1971), 363–374.
M. Rothenberg, Torsion invariants and finite transformation groups, in Proc. Symp. Pure Math., Vol. 32, Part 1 (Algebraic and Geometric Topology), Amer. Math. Soc., 1978, pp. 267–311.
Author information
Authors and Affiliations
Editor information
Additional information
Dedicated to the memory of Andrzej Jankowski and Wojtek Pulikowski
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Illman, S. (1986). A product formula for equivariant Whitehead torsion and geometric applications. In: Jackowski, S., Pawałowski, K. (eds) Transformation Groups Poznań 1985. Lecture Notes in Mathematics, vol 1217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072819
Download citation
DOI: https://doi.org/10.1007/BFb0072819
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16824-9
Online ISBN: 978-3-540-47097-7
eBook Packages: Springer Book Archive