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On Localized Unstable K1-groups andApplications to Self-homotopy Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2014
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