Applications of Combinatorial Groups to the Hopf Invariants and the Exponent Problem∗

Abstract

Combinatorial groups together with the groups of natural coalgebra transformations of tensor algebras are linked to the groups of homotopy classes of maps from the James construction to a loop space. This connection gives rise to applications to homotopy theory. The Hopf invariants of the Whitehead products is studied and a rate of exponent growth for the… (More)

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Cite this paper

@inproceedings{Wu2006ApplicationsOC, title={Applications of Combinatorial Groups to the Hopf Invariants and the Exponent Problem∗}, author={Jie Wu}, year={2006} }