An upper bound for the 3-primary homotopy exponent of the exceptional Lie group $E_7$
Theriault, Stephen D.
J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 541-564 / Harvested from Project Euclid
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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.
Publié le : 2007-05-15
Classification:  55Q52 
@article{1250281023,
     author = {Theriault, Stephen D.},
     title = {An upper bound for the 3-primary homotopy exponent of the exceptional Lie group $E\_7$},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 541-564},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281023}
}

Theriault, Stephen D. An upper bound for the 3-primary homotopy exponent of the exceptional Lie group $E_7$. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  541-564. http://gdmltest.u-ga.fr/item/1250281023/