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

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.

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Latex : $H(\Bbb{Z}/p^k)$ as a Thom spectrum and topological Hochschild homology

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1802.08155.pdf (Preprint), 97KB
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File downloaded from arXiv at 2020-07-13 09:43 Preprint title: Topological Hochschild Homology of H(Z/p^k)
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https://doi.org/10.1090/proc/14968 (Publisher version)
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 Creators:
Kitchloo, Nitu1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 5
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 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Proceedings of the American Mathematical Society
  Abbreviation : Proc. Amer. Math. Soc.
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 148 (8) Sequence Number: - Start / End Page: 3647 - 3651 Identifier: -