H(Z/pk) as a Thom spectrum and topological Hochschild homology

Kitchloo, Nitu

doi:10.1090/proc/14968

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

H(Z/p^k) as a Thom spectrum and topological Hochschild homology

MPS-Authors

/persons/resource/persons240727

Kitchloo, Nitu
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1090/proc/14968
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1802.08155.pdf
(Preprint), 97KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Kitchloo, N. (2020). H(Z/p^k) as a Thom spectrum and topological Hochschild homology. Proceedings of the American Mathematical Society, 148(8), 3647-3651. doi:10.1090/proc/14968.

Cite as: https://hdl.handle.net/21.11116/0000-0006-B2B5-4

Abstract

In this short note we study the topological Hoschschild 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, and by
Pirashvili except for the anomalous case p=k=2.