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.
|Number of pages||24|
|Journal||Journal of Mathematics of Kyoto University|
|Publication status||Published - 2007|