H(Z/pk) AS A THOM SPECTRUM AND TOPOLOGICAL HOCHSCHILD HOMOLOGY

被引：0
|
作者：
Kitchloo, Nitu [1 ]
机构：
[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 08期
关键词：
RING SPECTRA;
D O I：
10.1090/proc/14968
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short note we study the topological Hochschild homology of Eilenberg-MacLane spectra for finite cyclic groups. In particular, we show that the Eilenberg-MacLane spectrum H(Z/p(k)) is a Thom spectrum for any prime p (except, possibly, when p = k = 2) and we also compute its topological Hoschshild homology. This yields a short proof of the results obtained by Brun [J. Pure Appl. Algebra 148 (2000), pp. 29-76], and Pirashvili [Comm. Algebra 23 (1995), pp. 1545-1549] except for the anomalous case p = k = 2.
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页码：3647 / 3651
页数：5
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