Self homotopy groups with large nilpotency classes

Hiroaki Hamanaka, Daisuke Kishimoto, Akira Kono

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We demonstrate that for any n > 0 there exists a compact connected Lie group G such that the self homotopy group [G, G] has the nilpotency class greater than n, where [G, G] is a nilpotent group for a compact connected Lie group G.

Original languageEnglish
Pages (from-to)2425-2429
Number of pages5
JournalTopology and its Applications
Volume153
Issue number14
DOIs
Publication statusPublished - Aug 1 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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