Geodesic
On homotopy nilpotency of loop spaces of Moore spaces
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 296-307

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Let $M(A,n)$ be the Moore space of type $(A,n)$ for an Abelian group A and $n\ge 2$. We show that the loop space $\Omega (M(A,n))$ is homotopy nilpotent if and only if A is a subgroup of the additive group $\mathbb {Q}$ of the field of rationals. Homotopy nilpotency of loop spaces $\Omega (M(A,1))$ is discussed as well.
DOI : 10.4153/S000843952100028X
Mots-clés : Abelian group, nilpotency class, n-fold commutator map, H-space, loop space, Moore space, localization, Samelson product, smash product, suspension space, Whitehead product 
Golasiński, Marek. On homotopy nilpotency of loop spaces of Moore spaces. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 296-307. doi: 10.4153/S000843952100028X
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     author = {Golasi\'nski, Marek},
     title = {On homotopy nilpotency of loop spaces of {Moore} spaces},
     journal = {Canadian mathematical bulletin},
     pages = {296--307},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S000843952100028X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952100028X/}
}
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