A number-theoretic approach to homotopy exponents of SU(n)

Donald M. Davis, Zhi-Wei Sun

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 $p^{n-1+or{d}_p([n/p]!)}$…