On spaces of finite volume (Q1099263)

Let G be a connected Lie group, D a closed subgroup, such that G/D possesses a finite G-invariant measure. The author proves the following theorem conjectured by \textit{J. Brezin} and \textit{C. C. Moore} [Am. J. Math. 103, 571-613 (1981; Zbl 0506.22008)]: there exists a closed connected solvable subgroup \(A\subset G\) containing the radical of G such that A/D\(\cap A\) is compact and \(D\subset N_ G(A)\).