Computing Equivariant Homotopy with a Splitting Method

Abstract

We develop a new method in the computation of equivariant homotopy, which is based on the splitting of cofiber sequences associated to universal spaces in the category of equivariant spectra. In particular, we use this method to compute the homotopy of $H\underline{\mathbb{Z}}$ for $G=D_{2p}$ and $A_5$.

arXiv comment48 pages, the main theory is greatly improved compared to the previous version. The content of arXiv:2110.07695 is also included