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arXiv 2019-03-19 0 views

Equivariant Steinberg Summands

Sankar, Krishanu

Original · EN

We construct Steinberg summands of G-equivariant spectra with GLₙ(Fₚ)-action. We prove a lemma about their fixed points when G is a p-group, and then use this lemma to compute the fixed points of the Steinberg summand of the equivariant classifying space of (Z/p)ⁿ. These results will be used in a companion paper to study the layers in the mod p symmetric power filtration for HFₚ.

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