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

Daisuke Kishimoto; Akira Kono; Mitsunobu Tsutaya

doi:10.4153/CMB-2013-038-8

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

Daisuke Kishimoto, Akira Kono, Mitsunobu Tsutaya

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	344-356
Number of pages	13
Journal	Canadian Mathematical Bulletin
Volume	57
Issue number	2
DOIs	https://doi.org/10.4153/CMB-2013-038-8
Publication status	Published - Jun 1 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4153/CMB-2013-038-8

Cite this

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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.",

author = "Daisuke Kishimoto and Akira Kono and Mitsunobu Tsutaya",

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

Abstract

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