Geodesic
Homotopy nilpotency in localized $SU(n)$
Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 61-79.

Voir la notice de l'article provenant de la source International Press of Boston

We determine the homotopy nilpotency of $p$-localized $SU(n)$ when $p$ is a quasi-regular prime in the sense of M. Mimura and H. Toda, “Cohomology operations and homotopy of compact Lie groups I,” Topology 9 (1970), 317-336. As a consequence, we see that it is not a monotonic decreasing function in $p$.
DOI : 10.4310/HHA.2009.v11.n1.a4
Classification : 55P60, 55Q15
Keywords: homotopy nilpotency, localization 
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     title = {Homotopy nilpotency in localized $SU(n)$},
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Daisuke Kishimoto. Homotopy nilpotency in localized $SU(n)$. Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 61-79. doi : 10.4310/HHA.2009.v11.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a4/

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