EQUIVARIANT STEINBERG SUMMANDS

被引：0

作者：

Sankar, Krishanu ^{[1
]}

机构：

[1] Univ British Columbia, Math Dept, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2020年 / 22卷 / 02期

关键词：

equivariant; homology; homotopy; SPLITTINGS; SPECTRA;

D O I：

10.4310/HHA.2020.v22.n2.a13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct Steinberg summands of G-equivariant spectra with GL(n) (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 (Z/p)(n). These results will be used in a companion paper to study the layers in the mod p symmetric power filtration for HFp.

引用

页码：203 / 220

页数：18

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