arXiv research

The paper proves $n$-transitivity for equivariant diffeomorphisms of manifolds.

Some groups of real analytic diffeomorphism act n-transitively for each finite n.

The notion of $n$-transitivity can be carried over from groups of diffeomorphisms on a manifold $M$ to groups of bisections of a Lie groupoid over $M$. The main theorem states that the $n$-transitivity is fulfilled for all $n\in\mathbb N$ by an arbitrary group of $C^r$-bisections of a Lie groupoid $Γ$ of class $C^r$, w…

The paper explores the transitivity of orbifold diffeomorphisms.