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arXiv · 1210.7033

On Hopkins' Picard groups for the prime 3 and chromatic level 2

Paul Goerss·Hans-Werner Henn·Mark Mahowald·Charles Rezk
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Abstract

We give a calculation of Picard groups of K(2)-local invertible spectra and of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculation the subgroup of invertible spectra with the same Morava module as a sphere.

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Paul Goerss, Hans-Werner Henn, Mark Mahowald, Charles Rezk. 2014-05-07. On Hopkins' Picard groups for the prime 3 and chromatic level 2. https://doi.org/10.1112/jtopol%2Fjtu024

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