A decomposition formula for equivariant stable homotopy classes

@article{Marzantowicz2009ADF,
  title={A decomposition formula for equivariant stable homotopy classes},
  author={Waclaw Marzantowicz and Carlos Prieto},
  journal={Topological Methods in Nonlinear Analysis},
  year={2009},
  volume={33},
  pages={285-291}
}
For any compact Lie group $G$, we give a decomposition of the group $\{X,Y\}_G^k$ of (unpointed) stable $G$-homotopy classes as a direct sum of subgroups of fixed orbit types. This is done by interpreting the $G$-homotopy classes in terms of the generalized fixed-point transfer and making use of conormal maps. 
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