Geodesic
On Localized Unstable K 1-groups andApplications to Self-homotopy Groups
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 344-356

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DOI

The method for computing the $p$ -localization of the group $\left[ X,\,\text{U}\left( n \right) \right]$ , by Hamanaka in 2004, is revised. As an application, an explicit description of the self-homotopy group of $\text{Sp}\left( 3 \right)$ localized at $p\,\ge \,5$ is given and the homotopy nilpotency of $\text{Sp}\left( 3 \right)$ localized at $p\,\ge \,5$ is determined.
DOI : 10.4153/CMB-2013-038-8
Mots-clés : 55P45, 55P60, 55Q05, Lie group, self-homotopy group, localization 
Kishimoto, Daisuke; Kono, Akira; Tsutaya, Mitsunobu. On Localized Unstable K 1-groups andApplications to Self-homotopy Groups. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 344-356. doi: 10.4153/CMB-2013-038-8
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     author = {Kishimoto, Daisuke and Kono, Akira and Tsutaya, Mitsunobu},
     title = {On {Localized} {Unstable} {K} 1-groups {andApplications} to {Self-homotopy} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {344--356},
     year = {2014},
     volume = {57},
     number = {2},
     doi = {10.4153/CMB-2013-038-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-038-8/}
}
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