Geodesic
Equivariant Steinberg summands
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 203-220.

Voir la notice de l'article provenant de la source International Press of Boston

We construct Steinberg summands of $G$-equivariant spectra with $\operatorname{GL}_n (\mathbb{F}_p)$-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 $\operatorname{mod}$ $p$ symmetric power filtration for $H \underline{\mathbb{F}}_p$.
DOI : 10.4310/HHA.2020.v22.n2.a13
Classification : 20C20, 20G40, 55P42, 55P91
Keywords: equivariant, homology, homotopy 
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     author = {Krishanu Sankar},
     title = {Equivariant {Steinberg} summands},
     journal = {Homology, homotopy, and applications},
     pages = {203--220},
     publisher = {mathdoc},
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     number = {2},
     year = {2020},
     doi = {10.4310/HHA.2020.v22.n2.a13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a13/}
}
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Krishanu Sankar. Equivariant Steinberg summands. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 203-220. doi : 10.4310/HHA.2020.v22.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a13/

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