On localized unstable K1-groups and applications to self-homotopy groups

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Abstract

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.

Original languageEnglish
Pages (from-to)344-356
Number of pages13
JournalCanadian Mathematical Bulletin
Volume57
Issue number2
DOIs
Publication statusPublished - Jun 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

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