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arXiv · 1710.01769

Equivariant Eilenberg-Mac Lane spectra in cyclic $p$-groups

Mingcong Zeng
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Abstract

In this paper we compute $RO(G)$-graded homotopy Mackey functors of $H\underline{\mathbb{Z}}$, the Eilenberg-Mac Lane spectrum of the constant Mackey functor of integers for cyclic p-groups and give a complete computation for $G = C_{p^2}$ . We also discuss homological algebra of $\underline{\mathbb{Z}}$-modules for cyclic $p$-groups, and interactions between these two. The goal of this paper is to understand various slice spectral sequences as $RO(G)$-graded spectral sequences of Mackey functors.

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BibTeXRIS

Mingcong Zeng. 2017-10-04. Equivariant Eilenberg-Mac Lane spectra in cyclic $p$-groups. https://arxiv.org/abs/1710.01769

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