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Applications of combinatorial groups to Hopf invariant and the exponent problem

Jelena Grbic·Jie Wu
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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 are studied and a rate of exponent growth for the strong version of the Barratt Conjecture is given.

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Jelena Grbic, Jie Wu. 2009-06-30. Applications of combinatorial groups to Hopf invariant and the exponent problem. https://doi.org/10.2140/agt.2006.6.2229

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