Simplicial James-Hopf map and decompositions of the unstable Adams spectral sequence for suspensions
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math.AT
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groupsimplicialjames-hopfsequencespectraladamsallowassociated
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We use combinatorial group theory methods to extend the definition of a classical James-Hopf invariant to a simplicial group setting. This allow us to realize certain coalgebra idempotents at sSet -level and obtain a functorial decomposition of the spectral sequence, associated with the lower p-central series filtration on the free simplicial group.
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