On Hopkins' Picard group Pic\(_2\) at the prime 3

DOI10.2140/agt.2010.10.275zbMath1185.55010OpenAlexW194396388MaRDI QIDQ848140

Nasko Karamanov

Publication date: 23 February 2010

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2010.10.275

zbMATH Keywords

Picard groupMorava \(K\)-theoryMorava stabilizer group

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) (v_n)-periodicity (55Q51)

Related Items (6)

The \(Sp_{k,n}\)-local stable homotopy category ⋮ Picard groups of higher real -theory spectra at height ⋮ Exotic Picard groups and chromatic vanishing via the Gross-Hopkins duality ⋮ The homotopy groups of \(S_{E(2)}\) at \(p\geq 5\) revisited ⋮ On Hopkins’ Picard groups for the prime 3 and chromatic level 2 ⋮ The centralizer resolution of the 𝐾(2)-local sphere at the prime 2

Cites Work

• The homotopy of the \(K(2)\)-local Moore spectrum at the prime 3 revisited
• A resolution of the \(K(2)\)-local sphere at the prime 3
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