NDLI: Maximal Compact Normal Subgroups and Pro-Lie Groups

Content Provider	Scilit
Author	Bagley, R. W. Wu, T. S.
Copyright Year	1985
Description	We are concerned with conditions under which a locally compact group has a maximal compact normal subgroup and whether or not is a Lie group. If has small compact normal subgroups such that is a Lie group, then is pro-Lie. If in there is a collection of closed normal subgroups such that and is a Lie group for each , then is a residual Lie group. We determine conditions under which a residual Lie group is pro-Lie and give an example of a residual Lie group which is not embeddable in a pro-Lie group.
Related Links	http://www.ams.org/proc/1985-093-02/S0002-9939-1985-0770558-3/S0002-9939-1985-0770558-3.pdf
Ending Page	376
Page Count	4
Starting Page	373
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2044783
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	93
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Normal Subgroups Pro Lie Lie Groups Maximal Compact Normal
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Maximal Compact Normal Subgroups and Pro-Lie Groups