Self homotopy groups with large nilpotency classes

Hiroaki Hamanaka; Daisuke Kishimoto; Akira Kono

doi:10.1016/j.topol.2005.09.003

Self homotopy groups with large nilpotency classes

Hiroaki Hamanaka, Daisuke Kishimoto, Akira Kono

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2425-2429
Number of pages	5
Journal	Topology and its Applications
Volume	153
Issue number	14
DOIs	https://doi.org/10.1016/j.topol.2005.09.003
Publication status	Published - Aug 1 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2005.09.003

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title = "Self homotopy groups with large nilpotency classes",

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.",

author = "Hiroaki Hamanaka and Daisuke Kishimoto and Akira Kono",

year = "2006",

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doi = "10.1016/j.topol.2005.09.003",

language = "English",

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T1 - Self homotopy groups with large nilpotency classes

AU - Hamanaka, Hiroaki

AU - Kishimoto, Daisuke

AU - Kono, Akira

PY - 2006/8/1

Y1 - 2006/8/1

N2 - 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.

AB - 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.

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DO - 10.1016/j.topol.2005.09.003

M3 - Article

AN - SCOPUS:33745871952

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SP - 2425

EP - 2429

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 14

ER -

Self homotopy groups with large nilpotency classes

Abstract

All Science Journal Classification (ASJC) codes

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