NDLI: On Centralizers of Generalized Uniform Subgroups of Locally Compact Groups

Content Provider	Scilit
Author	Sit, Kwan-Yuk Law
Copyright Year	1975
Description	Let be a locally compact group and a closed subgroup of such that the homogeneous space admits a finite invariant measure. Let be the centralizer of in . It is shown that if is connected then modulo its center is compact. If is only assumed to be locally connected it is shown that the commutator subgroup of has compact closure. Consequences of these results are found for special classes of groups, such as Lie groups. An example of a totally disconnected group is given to show that the results for need not hold if is not connected or locally connected.
Related Links	http://www.ams.org/tran/1975-201-00/S0002-9947-1975-0354923-2/S0002-9947-1975-0354923-2.pdf
Ending Page	146
Page Count	14
Starting Page	133
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1997328
Journal	Transactions of the American Mathematical Society
Volume Number	201
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Locally Compact Generalized Uniform Compact Groups Uniform Subgroups Centralizers
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On Centralizers of Generalized Uniform Subgroups of Locally Compact Groups