S-Subgroups of the Real Hyperbolic Groups
1980 ◽
Vol 32
(1)
◽
pp. 246-256
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Keyword(s):
The Real
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IfHis a closed subgroup of a locally compact groupG, withG/Hhaving finiteG-invariant measure, then, as observed by Atle Selberg [8], for any neighborhoodUof the identity inGand any elementginG, there is an integern >0 such thatgnis inU·H·U.A subgroup satisfying this latter condition is said to be anS-sub group,or satisfiesproperty (S).IfGis a solvable Lie group, then the converse of Selberg's result has been proved by S. P. Wang [10]: IfHis a closedS-subgroup ofG,thenG/His compact. Property(S)has been used by A. Borel in the important “density theorem” (see Section 2 or [1]).
1973 ◽
Vol 14
(1)
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pp. 77-79
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2007 ◽
Vol 75
(2)
◽
pp. 229-238
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1997 ◽
Vol 63
(3)
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pp. 289-296
◽
Keyword(s):
2019 ◽
Vol 100
(2)
◽
pp. 317-322
Keyword(s):
2018 ◽
Vol 2020
(7)
◽
pp. 2034-2053
2004 ◽
Vol 70
(2)
◽
pp. 257-266
Keyword(s):
1981 ◽
Vol 4
(4)
◽
pp. 625-640
◽
Keyword(s):