Equivariant Steinberg Summands

Krishanu Sankar

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arXiv · 1903.08246

Equivariant Steinberg Summands

Krishanu Sankar

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Abstract

We construct Steinberg summands of $G$-equivariant spectra with $\mathrm{GL}_n(\mathbb{F}_p)$-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 $(\mathbb{Z}/p)^n$. These results will be used in a companion paper to study the layers in the mod $p$ symmetric power filtration for $H\underline{\mathbb{F}}_p$.

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Krishanu Sankar. 2019-03-19. Equivariant Steinberg Summands. https://arxiv.org/abs/1903.08246

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