Graeme Segal’s Burnside ring conjecture
HTML articles powered by AMS MathViewer
- by J. Frank Adams PDF
- Bull. Amer. Math. Soc. 6 (1982), 201-210
References
- J. F. Adams, Operations of the $n$th kind in $K$-theory, and what we don’t know about $RP^{\infty }$, New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972) London Math. Soc. Lecture Note Ser., No. 11, Cambridge Univ. Press, London, 1974, pp. 1–9. MR 0339178
- John Frank Adams, Infinite loop spaces, Annals of Mathematics Studies, No. 90, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1978. MR 505692, DOI 10.1515/9781400821259
- M. F. Atiyah, Characters and cohomology of finite groups, Inst. Hautes Études Sci. Publ. Math. 9 (1961), 23–64. MR 148722, DOI 10.1007/BF02698718
- M. F. Atiyah and G. B. Segal, Equivariant $K$-theory and completion, J. Differential Geometry 3 (1969), 1–18. MR 259946, DOI 10.4310/jdg/1214428815
- J. C. Becker and D. H. Gottlieb, Transfer maps for fibrations and duality, Compositio Math. 33 (1976), no. 2, 107–133. MR 436137
- Tammo tom Dieck, Transformation groups and representation theory, Lecture Notes in Mathematics, vol. 766, Springer, Berlin, 1979. MR 551743, DOI 10.1007/BFb0085965
- Albrecht Dold, The fixed point index of fibre-preserving maps, Invent. Math. 25 (1974), 281–297. MR 380776, DOI 10.1007/BF01389731 9. J. H. C. Gunawardena, Segal’s conjecture for cyclic groups of (odd) prime order, J. T. Knight Prize Essay, Cambridge, 1980.
- Erkki Laitinen, On the Burnside ring and stable cohomotopy of a finite group, Math. Scand. 44 (1979), no. 1, 37–72. MR 544579, DOI 10.7146/math.scand.a-11795
- Wen Hsiung Lin, On conjectures of Mahowald, Segal and Sullivan, Math. Proc. Cambridge Philos. Soc. 87 (1980), no. 3, 449–458. MR 556925, DOI 10.1017/S0305004100056887
- 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), no. 3, 459–469. MR 569195, DOI 10.1017/S0305004100056899
- Takao Matumoto, On $G$-$\textrm {CW}$ complexes and a theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 18 (1971), 363–374. MR 345103
- Douglas C. Ravenel, The Segal conjecture for cyclic groups, Bull. London Math. Soc. 13 (1981), no. 1, 42–44. MR 599639, DOI 10.1112/blms/13.1.42
Additional Information
- Journal: Bull. Amer. Math. Soc. 6 (1982), 201-210
- MSC (1980): Primary 55Q55, 55R35
- DOI: https://doi.org/10.1090/S0273-0979-1982-14979-5
- MathSciNet review: 640946