The Moore spectrum $M_p(i)$ is the cofiber of the $p^{i}$ map on the sphere spectrum. For a fixed $p$ and $n$, we find a lower bound on $i$ for which a unital $A_n$-structure on $M_p(i)$ is guaranteed. This bound is dependent on the stable homotopy groups of spheres.
On the existence of a v_2^32-self map on M(1,4) at the prime 2
The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited
Stable Homotopy Groups of Moore Spaces
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