Abstract
A new homotopy fibration is constructed at the prime 3 which shows that the quotient group $E_{7}/F_{4}$ is spherically resolved. This is then used to show that the 3-primary homotopy exponent of $E_{7}$ is bounded above by $3^{23}$, which is at most four powers of 3 from being optimal.
Citation
Stephen D. Theriault. "An upper bound for the 3-primary homotopy exponent of the exceptional Lie group $E_7$." J. Math. Kyoto Univ. 47 (3) 541 - 564, 2007. https://doi.org/10.1215/kjm/1250281023
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