Book Review
The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.
Full text of review: PDF This review is available free of charge.
Book Information:
Author: Christopher Allday and Volker Puppe
Title: Cohomological methods in transformation groups
Additional book information: Cambridge Studies in Advanced Mathematics, vol. 32, Cambridge University Press, London, 1993, xi+470 pp., US$69.95. ISBN 0-521-35022-0.
- [A] Alejandro Adem, Cohomological restrictions on finite group actions, J. Pure Appl. Algebra 54 (1988), no. 2-3, 117–139. MR 963539, https://doi.org/10.1016/0022-4049(88)90025-4
- [B] Armand Borel, Nouvelle démonstration d’un théorème de P. A. Smith, Comment. Math. Helv. 29 (1955), 27–39 (French). MR 0066649, https://doi.org/10.1007/BF02564269
- [Bre] Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. MR 0413144
- [Bro] William Browder, Cohomology and group actions, Invent. Math. 71 (1983), no. 3, 599–607. MR 695909, https://doi.org/10.1007/BF02095996
- [Ca] Jon F. Carlson, The varieties and the cohomology ring of a module, J. Algebra 85 (1983), no. 1, 104–143. MR 723070, https://doi.org/10.1016/0021-8693(83)90121-7
- [DW] William G. Dwyer and Clarence W. Wilkerson, Smith theory and the functor 𝑇, Comment. Math. Helv. 66 (1991), no. 1, 1–17. MR 1090162, https://doi.org/10.1007/BF02566633
- [H] Wu-yi Hsiang, Cohomology theory of topological transformation groups, Springer-Verlag, New York-Heidelberg, 1975. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 85. MR 0423384
- [O] Robert Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50 (1975), 155–177. MR 0375361, https://doi.org/10.1007/BF02565743
- [Q] Daniel Quillen, The spectrum of an equivariant cohomology ring. I, II, Ann. of Math. (2) 94 (1971), 549–572; ibid. (2) 94 (1971), 573–602. MR 0298694, https://doi.org/10.2307/1970770
- [S] Richard G. Swan, A new method in fixed point theory, Comment. Math. Helv. 34 (1960), 1–16. MR 0115176, https://doi.org/10.1007/BF02565923
Review Information:
Reviewer: Alejandro Adem
Journal: Bull. Amer. Math. Soc. 31 (1994), 254-257
DOI: https://doi.org/10.1090/S0273-0979-1994-00524-5
