English

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

Algebraic Topology 2015-06-12 v3

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.

Keywords

Cite

@article{arxiv.1210.7033,
  title  = {On Hopkins' Picard groups for the prime 3 and chromatic level 2},
  author = {Paul Goerss and Hans-Werner Henn and Mark Mahowald and Charles Rezk},
  journal= {arXiv preprint arXiv:1210.7033},
  year   = {2015}
}