Homotopy nilpotency in \(p\)-regular loop spaces

DOI10.1007/S00209-008-0459-6zbMath1185.55007arXiv0710.3975OpenAlexW1965708485MaRDI QIDQ846888

Daisuke Kishimoto, Shizuo Kaji

Publication date: 15 February 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3975

zbMATH Keywords

\(p\)-compact grouphomotopy nilpotency, Lie groupiterated commutator map, primary operation

Mathematics Subject Classification ID

Classification of homotopy type (55P15) (H)-spaces and duals (55P45) Loop spaces (55P35) Primary cohomology operations in algebraic topology (55S05) Whitehead products and generalizations (55Q15)

Related Items (17)

The dual polyhedral product, cocategory and nilpotence ⋮ Homotopy commutativity in Hermitian symmetric spaces ⋮ The mod-p homology of the classifying spaces of certain gauge groups ⋮ On localized self-homotopy groups of \(SU(4)\) and \(Sp(4)\) ⋮ SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY ⋮ Homotopy types of gauge groups related to \(S^{3}\)-bundles over \(S^{4}\) ⋮ Samelson products in \(p\)-regular exceptional Lie groups ⋮ The odd primary order of the commutator on low rank Lie groups ⋮ Commutativity of localized self-homotopy groups of symplectic groups ⋮ Commutativity in special unitary groups at odd primes ⋮ Higher homotopy associativity in the Harris decomposition of Lie groups ⋮ Homotopy nilpotency of some homogeneous spaces ⋮ A survey of homotopy nilpotency and co-nilpotency ⋮ A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups ⋮ NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS ⋮ Mod \(p\) decompositions of the loop spaces of compact symmetric spaces ⋮ On homotopy nilpotency

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