Divisible groups in the \(K\)-theory completion of \(SU(n)\)

DOI10.1016/J.TOPOL.2015.09.005zbMath1361.55017OpenAlexW2103542274MaRDI QIDQ891246

Peter L. Gregory

Publication date: 16 November 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.09.005

zbMATH Keywords

Lie groupalgebraic topologydivisible groupsunstable homotopyspecial unitary groupBousfield-Kan spectral sequence\(K\)-theory completionunstable Adams spectral sequence

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Adams spectral sequences (55T15) Homotopy groups of special spaces (55Q52) Homotopy groups of spheres (55Q40)

Cites Work

• Some calculations in the unstable Adams-Novikov spectral sequence
• The \(v_ 1\)-periodic unstable Novikov spectral sequence
• The unstable Adams spectral sequence for generalized homology
• Homotopy limits, completions and localizations
• The ν ₁ -Periodic Homotopy Groups of SU(n ) at Odd Primes
• The Bousfield-Kan spectral sequence for periodic homology theories
• Tractable formulas for v 1periodic homotopy groups of SU (n)when n≤p 2 -p + 1

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