组合群在Hopf不变量和指数问题中的应用
Applications of combinatorial groups to Hopf invariant and the exponent problem
摘要：
组合群与张量代数的自然余代数变换群一起被联系到从James构造到闭路空间的映射的同伦类群。这种联系导致了同伦理论的应用。研究了Whitehead乘积的Hopf不变量，给出了强Barratt猜想的指数增长率.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
