Exponents of $[\Omega ({\mathbb{S}}^{r+1}),\Omega (Y)]$

Marek Golasiński, Daciberg Lima Gonçalves, Peter Wong

We investigate the exponents of the total Cohen groups $[\Omega ({\mathbb{S}}^{r+1}),\Omega (Y)]$ for any $r\ge 1$. In particular, we show that for $p\ge 3$, the $p$-primary exponents of $[Ω(\ma…