#### Volume 10, issue 2 (2010)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
The Equivariant Generating Hypothesis

### Anna Marie Bohmann

Algebraic & Geometric Topology 10 (2010) 1003–1016
##### Abstract

We state the generating hypothesis in the homotopy category of $G$–spectra for a compact Lie group $G$ and prove that if $G$ is finite, then the generating hypothesis implies the strong generating hypothesis, just as in the non-equivariant case. We also give an explicit counterexample to the generating hypothesis in the category of rational ${S}^{1}$–equivariant spectra.

##### Keywords
generating hypothesis, Freyd conjecture, equivariant stable homotopy
Primary: 55P91
Secondary: 55P42