The homotopy groups of 𝐿₂𝑇(1)/(𝑣₁) at an odd prime

DOI10.1090/S0002-9939-09-10138-7zbMath1200.55020OpenAlexW2012553984MaRDI QIDQ3550588

Zihong Yuan, Xiang Jun Wang, Xiu Gui Liu

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10138-7

zbMATH Keywords

stable homotopyAdams-Novikov spectral sequencechromatic spectral sequence

Mathematics Subject Classification ID

Homotopy groups of special spaces (55Q52) Stable homotopy groups (55Q10)

Cites Work

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• On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two
• The cohomology of the Morava stabilizer algebras
• Periodic phenomena in the Adams-Novikov spectral sequence
• The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\)
• Comodules and Landweber exact homology theories
• The homotopy groups \(\pi_ * (L_ 2 S^ 0)\)
• The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2
• The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3
• π∗(L 2 T(1)/(v 1)) and its applications in computing π∗(L 2 T(1)) at the prime two
• Localization with Respect to Certain Periodic Homology Theories
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• Morava 𝐾-theories and localisation
• The homotopy groups of the L 2-localized Mahowald spectrum X<1>
• On the homotopy groups of E(n)-local spectra with unusual invariant ideals

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