论文标题

伯恩赛德类别的色度过滤

The chromatic filtration of the Burnside category

论文作者

Szymik, Markus

论文摘要

Segal地图将有限组的伯恩赛德类别连接到其分类空间的稳定同型类别。后者的色过滤器可用于定义前者的过滤。在某些情况下,我们证明了Ravenel的相关猜想,并向一般性陈述提供反例。

The Segal map connects the Burnside category of finite groups to the stable homotopy category of their classifying spaces. The chromatic filtrations on the latter can be used to define filtrations on the former. We prove a related conjecture of Ravenel's in some cases, and present counterexamples to the general statement.

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