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Graeme Segal's Burnside ring conjecture
Author(s):
J. Frank
Adams
Journal:
Bull. Amer. Math. Soc.
6
(1982),
201-210.
MSC (1980):
Primary 55Q55, 55R35
MathSciNet review:
640946
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Additional information
References:
- 1.
- J. F. Adams, Operations of the nth kind in K-theory, and what we don't know about RP, London Math. Soc. Lecture Notes No. 11, Cambridge Univ. Press, 1974, pp. 1-9. MR 339178
- 2.
- J. F. Adams, Infinite loop spaces, Princeton Univ. Press, Princeton, N.J., 1978, especially Chapter 4. MR 505692
- 3.
- M. F. Atiyah, Characters and cohomology of finite groups, Inst. Hautes Études Sci. Publ. Math., No. 9 (1961), 23-64. MR 148722
- 4.
- M. F. Atiyah and G. B. Segal, Equivariant K-theory and completion, J. Differential Geometry 3 (1969), 1-18. MR 259946
- 5.
- J. C. Becker and D. Gottlieb, Transfer maps for fibrations and duality, Compositio Math. 33 (1976), 107-133. MR 436137
- 6.
- T. tom Dieck, Transformation groups and representation theory, Lecture Notes in Math., vol. 766, Springer-Verlag, Berlin and New York, 1979. MR 551743
- 7.
- A. Dold, The fixed-point index of fibre-preserving maps, Invent. Math. 25 (1974), 281-297. 8.A. Dold, The fixed point transfer of fibre-preserving maps, Math. Z. 148 (1976), 215-244. MR 380776
- 9.
- J. H. C. Gunawardena, Segal's conjecture for cyclic groups of (odd) prime order, J. T. Knight Prize Essay, Cambridge, 1980.
- 10.
- E. Laitinen, On the Bunside ring and stable cohomotopy of a finite group, Math. Scand. 44 (1979), 37-72. MR 544579
- 11.
- W. H. Lin, On conjectures of Mahowald, Segal and Sullivan, Math. Proc. Cambridge Philos. Soc. 87 (1980), 449-458. MR 556925
- 12.
- W. H. Lin, D. M. Davis, M. E. Mahowald and J. F. Adams, Calculation of Lin's Ext groups, Math. Proc. Cambridge Philos. Soc. 87 (1980), 459-469. MR 569195
- 13.
- T. Matumoto, On G-CW-complexes and a theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo 18 (1971), 363-374. MR 345103
- 14.
- D. C. Ravenel, The Segal conjecture for cyclic groups, Bull. London Math. Soc. 13 (1981), 42-44. MR 599639
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55Q55, 55R35
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Additional Information:
DOI:
10.1090/S0273-0979-1982-14979-5
PII:
S 0273-0979(1982)14979-5
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