NDLI: Compact Subgroups of Lie Groups and Locally Compact Groups

Content Provider	Scilit
Author	Hofmann, Karl H. Terp, Christian
Copyright Year	1994
Description	We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group $G$ has the inductivity property for compact subgroups if and only if the factor group $G/{G_0}$ modulo the identity component has it.
Related Links	https://www.ams.org/proc/1994-120-02/S0002-9939-1994-1166357-9/S0002-9939-1994-1166357-9.pdf
Ending Page	634
Page Count	12
Starting Page	623
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2159906
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	120
Language	English
Publisher	Duke University Press
Publisher Date	1994-02-01
Access Restriction	Open
Subject Keyword	Logic Compact Subgroups Lie Groups Modulo G_0 Inductivity Compact Group Locally Compact Subgroups of Lie
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Compact Subgroups of Lie Groups and Locally Compact Groups