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Morava E-theory of symmetric groups
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We compute the completed E(n) cohomology of the classifying spaces of the symmetric groups, and relate the answer to the theory of finite subgroups of formal groups.
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Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces
New explicit formulas for the additive C_2 power operations on the indecomposables of KU_0(BU), E_2[BU], and E_2[BSU] modulo decomposables, derived from the level-structure interpretation of power operations.
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