Under an unproved conjectural model for the C9-action on the Lubin-Tate spectrum E6, the authors compute the E2 page of the homotopy fixed points spectral sequence and prove an E6 detection theorem for the p=3 Kervaire invariant problem.
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Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$
Under an unproved conjectural model for the C9-action on the Lubin-Tate spectrum E6, the authors compute the E2 page of the homotopy fixed points spectral sequence and prove an E6 detection theorem for the p=3 Kervaire invariant problem.