## Illinois Journal of Mathematics

### The equivariant Dold theorem mod $k$ and the Adams conjecture

#### 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

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
Secondary: 55Q50: $J$-morphism [See also 19L20]
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