The method for computing the p-localization of the group [X; U(n)], by Hamanaka in 2004, is revised. As an application, an explicit description of the self-homotopy group of Sp(3) localized at p ≥ 5 is given and the homotopy nilpotency of Sp(3) localized at p ≥ 5 is determined.
|Number of pages||13|
|Journal||Canadian Mathematical Bulletin|
|Publication status||Published - Jun 1 2014|
All Science Journal Classification (ASJC) codes