3-primary exponents

DOI10.1017/S0305004100058539zbMath0483.55007MaRDI QIDQ3942056

Joseph A. Neisendorfer

Publication date: 1981

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

zbMATH Keywords

product decompositions of loop spaces3-primary component of the homotopy groups of the 2n+1-dimensional sphere3-primary exponents3-torsion in homotopy groups of 3- primary Moore spacesBockstein formulasfailure of Jacobi identity in 3-primary homotopy theoryhigher order torsion in the homotopy groups of Moore spacesSamelson products in mod 3 homotopy

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy groups of special spaces (55Q52) Operations in homotopy groups (55Q35) Homotopy groups of spheres (55Q40) Whitehead products and generalizations (55Q15)

Related Items

Abelian Properties of Anick Spaces, Homotopy of gauge groups over non-simply-connected five-dimensional manifolds, Universal bounds for the exponent of stable homotopy groups, Homotopy exponents of Stiefel manifolds in the stable range, Comparing constructions of the classifying space for the fibre of the double suspension, Samelson products and exponents of homotopy groups, Derived functors of nonadditive functors and homotopy theory, Exponential growth of homotopy groups of suspended finite complexes, Higher chromatic Thom spectra via unstable homotopy theory, Homotopy groups with coefficients, Infinite families of higher torsion in the homotopy groups of Moore spaces, Suspension homotopy of 6-manifolds, A new proof of the odd primary homotopy exponent of spheres, The decomposition of the loop space of the mod 2 Moore space, \(p\)-primary homotopy decompositions of looped Stiefel manifolds and their exponents, The $3$-primary classifying space of the fiber of the double suspension, The fibre of the degree 3 map, Anick spaces and the double suspension, Homology and some homotopy decompositions for the James filtration on spheres, An elementary construction of Anick's fibration, On conjectures of Moore and Serre in the case of torsion-free suspensions, Homotopy of gauge groups over high-dimensional manifolds, Properties of Selick's filtration of the double suspension E²

Cites Work

• The double suspension and exponents of the homotopy groups of spheres
• Odd primary torsion in \(\pi_k(S^3)\)
• Torsion in homotopy groups
• On the structure of Hopf algebras
• THE SPHERE, CONSIDERED AS AN H-SPACE MOD_p