Title of article
Noncommutativity of the group of self homotopy classes of Lie groups
Author/Authors
Arkowitz، نويسنده , , Martin and ?shima، نويسنده , , Hideaki and Strom، نويسنده , , Jeffrey، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2002
Pages
10
From page
87
To page
96
Abstract
Let G be a topological group and let [G,G] be the group of homotopy classes of maps from G into G. For a large class of simple Lie groups, we prove that the group [G,G] is non-abelian. For certain Lie groups we show that nil[G,G]⩾3.
Keywords
Lie group , Nilpotency class , Self homotopy class , Self map
Journal title
Topology and its Applications
Serial Year
2002
Journal title
Topology and its Applications
Record number
1580071
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