Abstract
We show that the commutator map on $SU(3)$ has order $2^{3}\cdot 3\cdot 5$. As an application, we give an upper bound on the number of homotopy types of gauge groups for principal $SU(3)$-bundles over an $n$-sphere.
Citation
A. Kono. S. Theriault. "The order of the commutator on $SU(3)$ and an application to gauge groups." Bull. Belg. Math. Soc. Simon Stevin 20 (2) 359 - 370, may 2013. https://doi.org/10.36045/bbms/1369316550
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