\(p\)-primary homotopy decompositions of looped Stiefel manifolds and their exponents

DOI10.2140/AGT.2010.10.1089zbMath1200.55010arXiv1002.3858OpenAlexW3098646283MaRDI QIDQ982401

Piotr Beben

Publication date: 6 July 2010

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

Full work available at URL: https://arxiv.org/abs/1002.3858

zbMATH Keywords

Stiefel manifoldexponentsloop space

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Homotopy groups, general; sets of homotopy classes (55Q05) Loop spaces (55P35) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (1)

Mod \(p\) decompositions of the loop spaces of compact symmetric spaces

Cites Work

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• James numbers
• The double suspension and exponents of the homotopy groups of spheres
• Mod p decomposition of compact Lie groups
• Localization of CW-complexes and its applications
• On the homotopy groups of the classical groups
• The odd primary $H$-structure of low rank Lie groups and its application to exponents
• 3-primary exponents
• 2-Primary Exponent Bounds for Lie Groups of Low Rank
• Lie Groups and Products of Spheres

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