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Morava E-theory of symmetric groups

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arxiv math/9801125 v1 pith:BHUID6NB submitted 1998-01-28 math.AT

classification math.AT
keywords groupssymmetricanswerclassifyingcohomologycompletedcomputee-theory
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

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  1. Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces

    math.AT 2026-07 conditional novelty 5.0 of 10

    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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