Epimorphic subgroups and invariant measures

Shahar Mozes*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


It is shown that a probability measure on a homogeneous space Γ\G which is invariant under a subgroup H < G which is epimorphic in a subgroup L < G is invariant under L. When L = G we obtain a subgroup H such that for any lattice Γ < G its action on Γ\G is uniquely ergodic.

Original languageAmerican English
Pages (from-to)1207-1210
Number of pages4
JournalErgodic Theory and Dynamical Systems
Issue number6
StatePublished - Dec 1995


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