Abstract
For an odd prime $p$, we show that the $p$-primary homotopy exponent of Harper’s rank 2 finite mod-$p$ $H$-space $K_{p}$ is $p^{p^{2}+p}$. We then use this to show that the 3-primary homotopy exponent of each of the exceptional Lie groups $F_{4}$ and $E_{6}$ is $3^{12}$.
Citation
Stephen D. Theriault. "Homotopy exponents of Harper’s spaces." J. Math. Kyoto Univ. 44 (1) 33 - 42, 2004. https://doi.org/10.1215/kjm/1250283581
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