Book Review
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MathSciNet review:
1568128
Full text of review:
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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.
Alejandro Adem, Cohomological restrictions on finite group actions, J. Pure Appl. Algebra 54 (1988), no. 2-3, 117–139. MR 963539, DOI 10.1016/0022-4049(88)90025-4
Armand Borel, Nouvelle démonstration d’un théorème de P. A. Smith, Comment. Math. Helv. 29 (1955), 27–39 (French). MR 66649, DOI 10.1007/BF02564269
Glen E. Bredon, Introduction to compact transformation groups, Pure and Applied Mathematics, Vol. 46, Academic Press, New York-London, 1972. MR 0413144
William Browder, Cohomology and group actions, Invent. Math. 71 (1983), no. 3, 599–607. MR 695909, DOI 10.1007/BF02095996
Jon F. Carlson, The varieties and the cohomology ring of a module, J. Algebra 85 (1983), no. 1, 104–143. MR 723070, DOI 10.1016/0021-8693(83)90121-7
William G. Dwyer and Clarence W. Wilkerson, Smith theory and the functor $T$, Comment. Math. Helv. 66 (1991), no. 1, 1–17. MR 1090162, DOI 10.1007/BF02566633
Wu-yi Hsiang, Cohomology theory of topological transformation groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 85, Springer-Verlag, New York-Heidelberg, 1975. MR 0423384
Robert Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50 (1975), 155–177. MR 375361, DOI 10.1007/BF02565743
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 298694, DOI 10.2307/1970770
Richard G. Swan, A new method in fixed point theory, Comment. Math. Helv. 34 (1960), 1–16. MR 115176, DOI 10.1007/BF02565923
- [A]
- A. Adem, Cohomological restrictions on finite group actions, J. Pure Appl. Algebra 54 (1988), 117-139. MR 963539 (90d:57042)
- [B]
- A. Borel, Nouvelle démonstration d'un Theoreme de P. A. Smith, Comment. Math. Helv. 29 (1955), 27-39. MR 0066649 (16:611b)
- [Bre]
- G. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. MR 0413144 (54:1265)
- [Bro]
- W. Browder, Cohomology and group actions, Invent. Math. 75 (1983), 599-607. MR 695909 (85m:57022a)
- [Ca]
- J. F. Carlson, The varieties and the cohomology ring of a module, J. Algebra 85 (1983), 104-143. MR 723070 (85a:20004)
- [DW]
- W. Dwyer and C. Wilkerson, Smith theory and the functor T, Comment. Math. Helv. 66 (1991), 1-17. MR 1090162 (92i:55006)
- [H]
- W.-Y. Hsiang, Cohomology theory of topological transformation groups, Ergeb. Math. Grenzgeb. (3), vol. 85, Springer-Verlag, New York, 1975. MR 0423384 (54:11363)
- [O]
- R. Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50 (1975), 155-177. MR 0375361 (51:11556)
- [Q]
- D. Quillen, The spectrum of an equivariant cohomology ring. I & II, Ann. of Math. (2) 94 (1971), 549-602. MR 0298694 (45:7743)
- [S]
- R. G. Swan, A new method in fixed point theory, Comment. Math. Helv. 34 (1960), 1-16. MR 0115176 (22:5978)
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