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Topological Hochschild Homology of H(Z/p^k)

Research paper by Nitu Kitchloo

Indexed on: 24 Feb '18Published on: 24 Feb '18Published in: arXiv - 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.