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The Topological Version of Groups Generated by Reflections.

Eldar Straume (1981)

Mathematische Zeitschrift

The Variation of Isotropy Subalgebras for Analytic Transformation Goups.

R.W. jr. Richardson (1973)

Mathematische Annalen

Topologisch quasinormale Untegruppen zusammenhängender lokalkompakter Gruppen.

Claus Scheiderer (1984)

Monatshefte für Mathematik

Transitions from relative equilibria to relative periodic orbits.

Wulf, Claudia (2000)

Documenta Mathematica

Transitive riemannian isometry groups with nilpotent radicals

C. Gordon (1981)

Annales de l'institut Fourier

Given that a connected Lie group $G$ with nilpotent radical acts transitively by isometries on a connected Riemannian manifold $M$ , the structure of the full connected isometry group $A$ of $M$ and the imbedding of $G$ in $A$ are described. In particular, if $G$ equals its derived subgroup and its Levi factors are of noncompact type, then $G$ is normal in $A$ . In the special case of a simply transitive action of $G$ on $M$ , a transitive normal subgroup $G^{'}$ of $A$ is constructed with $dim G^{'} = dim G$ and a sufficient condition is given...

Transversal Lie group actions on abstract CR manifolds.

M.S. Baouendi, Linda Preiss Rothschild (1990)

Mathematische Annalen

Truncated Lie groups and almost Klein models

Georges Giraud, Michel Boyom (2004)

Open Mathematics

We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.