Commutativity of localized self-homotopy groups of symplectic groups

Daisuke Kishimoto, Akira Kono, Tomoaki Nagao

Research output: Contribution to journalArticlepeer-review


The self-homotopy group of a topological group G is the set of homotopy classes of self-maps of G equipped with the group structure inherited from G. We determine the set of primes p such that the p-localization of the self-homotopy group of Sp(n) is commutative. As a consequence, we see that this group detects the homotopy commutativity of p-localized Sp(n) by its commutativity almost all cases.

Original languageEnglish
Pages (from-to)1025-1032
Number of pages8
JournalTopology and its Applications
Issue number8
Publication statusPublished - May 15 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


Dive into the research topics of 'Commutativity of localized self-homotopy groups of symplectic groups'. Together they form a unique fingerprint.

Cite this