Homotopy nilpotency in localized $SU(n)$
Kishimoto, Daisuke
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 61-79 / Harvested from Project Euclid
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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 $p$.
Publié le : 2009-05-15
Classification:  Homotopy nilpotency,  localization,  55P60,  55Q15 
@article{1251832560,
     author = {Kishimoto, Daisuke},
     title = {Homotopy nilpotency in localized $SU(n)$},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 61-79},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832560}
}

Kishimoto, Daisuke. Homotopy nilpotency in localized $SU(n)$. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  61-79. http://gdmltest.u-ga.fr/item/1251832560/