We construct a new homotopy fibration at the prime 5, involving E-8 and Harper's rank two finite mod-5 H-space. We then use this to show that the 5-primary homotopy exponent of E-8 is bounded above by 5(31), which is at most one power of 5 from being optimal.
|Number of pages||24|
|Journal||Journal of Mathematics of Kyoto University|
|Publication status||Published - 2004|