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  1. Abstract Working at the prime 2 and chromatic height 2, we construct a finite resolution of the homotopy fixed points of MoravaE-theory with respect to the subgroup$$\mathbb {G}_2^1$$ G 2 1 of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points ofE-theory with respect to the subgroup$$\mathbb {S}_2^1$$ S 2 1 constructed in work of Goerss–Henn–Mahowald–Rezk, Beaudry and Bobkova–Goerss. 
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    Free, publicly-accessible full text available July 1, 2026
  2. Free, publicly-accessible full text available May 1, 2026