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arXiv · 2105.09768

On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra

Igor Sikora
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Abstract

Let $Q$ denote the cyclic group of order two. Using the Tate diagram we compute the $RO(Q)$-graded coefficients of Eilenberg-MacLane $Q$-spectra and describe their structure as a module over the coefficients of the Eilenberg-MacLane spectrum of the Burnside Mackey functor. If the underlying Mackey functor is a Green functor, we also infer the multiplicative structure on the $RO(Q)$-graded coefficients.

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Igor Sikora. 2021-05-20. On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra. https://arxiv.org/abs/2105.09768

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