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A number-theoretic approach to homotopy exponents of SU(n)
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A number-theoretic approach to homotopy exponents of SU(n)
classification
math.AT
math.NT
keywords
alphahomotopyapproachcombinatorialcontainsdenotesdivideselement
read the original abstract
We use methods of combinatorial number theory to prove that, for each $n>1$ and any prime $p$, some homotopy group $\pi_i(SU(n))$ contains an element of order $p^{n-1+ord_p([n/p]!)}$, where $ord_p(m)$ denotes the largest integer $\alpha$ such that $p^{\alpha}$ divides $m$.
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