Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 27, Issue 1 (1983), 52-66.
The equivariant Dold theorem mod $k$ and the Adams conjecture
Henning Hauschild and Stefan Waner
Abstract
In this paper, we state and prove a $G$-equivariant version of the Dold Theorem mod $k$ for finite groups $G$. We then use this theorem to prove an equivariant version of the Adams Conjecture for $G$ cyclic, using the Becker-Gottlieb approach. The case for general $G$ and finite structure groups is also obtained by the methods of Quillen.
We would like to express our gratitude to Professor J. P. May for his encouragement and many useful suggestions, and to the referee for his critical reading of the manuscript, and for his improvements on several of our proofs.
Article information
Source
Illinois J. Math., Volume 27, Issue 1 (1983), 52-66.
Dates
First available in Project Euclid: 20 October 2009
Permanent link to this document
https://projecteuclid.org/euclid.ijm/1256065410
Digital Object Identifier
doi:10.1215/ijm/1256065410
Mathematical Reviews number (MathSciNet)
MR684540
Zentralblatt MATH identifier
0522.55017
Subjects
Primary: 55Q91: Equivariant homotopy groups [See also 19L47]
Secondary: 55Q50: $J$-morphism [See also 19L20]
Citation
Hauschild, Henning; Waner, Stefan. The equivariant Dold theorem mod $k$ and the Adams conjecture. Illinois J. Math. 27 (1983), no. 1, 52--66. doi:10.1215/ijm/1256065410. https://projecteuclid.org/euclid.ijm/1256065410
