For every saturated fusion system, the fusion-stable sign and tom Dieck homomorphisms are surjective, which completes the classification of when the Lefschetz map on endotrivial complexes is surjective for all finite groups.
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The fusion-stable tom Dieck homomorphism
For every saturated fusion system, the fusion-stable sign and tom Dieck homomorphisms are surjective, which completes the classification of when the Lefschetz map on endotrivial complexes is surjective for all finite groups.