Thom modules and mod $p$ spherical fibrations
HTML articles powered by AMS MathViewer
- by Carlos Broto PDF
- Proc. Amer. Math. Soc. 114 (1992), 1131-1137 Request permission
Abstract:
In this paper we show that every finite Thom module over the ring of invariants of a finite nonmodular group can be realized as mod $p$ cohomology of the Thom space of a spherical fibration.References
- A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, Vol. 304, Springer-Verlag, Berlin-New York, 1972. MR 0365573, DOI 10.1007/978-3-540-38117-4
- Carlos Broto, Larry Smith, and Robert Stong, Thom modules and pseudoreflection groups, J. Pure Appl. Algebra 60 (1989), no. 1, 1–20. MR 1014604, DOI 10.1016/0022-4049(89)90104-7
- David Handel, Thom modules, J. Pure Appl. Algebra 36 (1985), no. 3, 237–252. MR 790616, DOI 10.1016/0022-4049(85)90076-3
- Daniel S. Kahn and Stewart B. Priddy, Applications of the transfer to stable homotopy theory, Bull. Amer. Math. Soc. 78 (1972), 981–987. MR 309109, DOI 10.1090/S0002-9904-1972-13076-3
- Larry Smith and R. E. Stong, On the invariant theory of finite groups: orbit polynomials and splitting principles, J. Algebra 110 (1987), no. 1, 134–157. MR 904185, DOI 10.1016/0021-8693(87)90040-8
- Dennis Sullivan, Genetics of homotopy theory and the Adams conjecture, Ann. of Math. (2) 100 (1974), 1–79. MR 442930, DOI 10.2307/1970841
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 1131-1137
- MSC: Primary 55R05; Secondary 55S10
- DOI: https://doi.org/10.1090/S0002-9939-1992-1065084-4
- MathSciNet review: 1065084