Using a Toda bracket computation due to Daniel C Isaksen, we investigate the –stem more thoroughly. We prove that using a –fold Toda bracket. By work of Barratt, Jones and Mahowald, this implies that exists and there exists a such that . Based on , we simplify significantly their –cell complex construction to a –cell complex, which leads to another proof that exists.
"The strong Kervaire invariant problem in dimension $62$." Geom. Topol. 20 (3) 1611 - 1624, 2016. https://doi.org/10.2140/gt.2016.20.1611