Spheres which are loop spaces 𝑚𝑜𝑑 𝑝

Spheres which are loop spaces $\textrm {mod}$ $p$
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Proc. Amer. Math. Soc. 39 (1973), 616-618

DOI: https://doi.org/10.1090/S0002-9939-1973-0317319-9

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If $S_{(p)}^{2n - 1}$ has a loop space structure, than $n|p - 1$.

References

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-theory techniques in $\bmod p$ loop spaces