COMPACT SUBGROUPS OF LIE-GROUPS AND LOCALLY COMPACT-GROUPS

Authors
HOFMANN KH TERP C
Citation
Kh. Hofmann et C. Terp, COMPACT SUBGROUPS OF LIE-GROUPS AND LOCALLY COMPACT-GROUPS, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 623-634
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
623 - 634
Database
ISI
SICI code
0002-9939(1994)120:2<623:CSOLAL>2.0.ZU;2-9
Abstract
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 prop erty for compact subgroups if and only if the factor group G/G0 modulo the identity component has it.