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

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

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Fulltext (public)

1802.08155.pdf
(Preprint), 97KB

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Citation

Kitchloo, N. (2020). H(Z/pk) 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: http://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.