Abstract
In this paper we calculate the algebraic Hopkins Picard group at the prime , which is a subgroup of the group of isomorphism classes of invertible –local spectra, ie of Hopkins’ Picard group . We use the resolution of the –local sphere introduced by Goerss, Henn, Mahowald and Rezk in [Ann. of Math (2) 162 (2005) 777-822] and the methods from Henn, Karamanov and Mahowald [to appear in Math. Zeit. arXiv:0811.0235] and Karamanov [PhD thesis, Universite Louis Pasteur (2006)].
Citation
Nasko Karamanov. "On Hopkins' Picard group $\mathrm{Pic}_2$ at the prime $3$." Algebr. Geom. Topol. 10 (1) 275 - 292, 2010. https://doi.org/10.2140/agt.2010.10.275
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