Local theory of \(Z\)-transitive geometric structures (Q1903866)

Let \({\mathcal B} = \{G,V,B,\omega\}\) be a \(G\)-structure and \(N \subset \text{Aut }V\) be an arbitrary Lie subgroup. Any structure \(\mathcal B\) whose space is homogeneous with respect to the group \(N \text{Aut }{\mathcal B}\) of \(N\)-automorphisms is said to be \(N\)-transitive. In a previous paper the author developed a theory of a \(N\)-transitive structures in the case when \(G \subset N\). In this paper he takes the case when \(N\) is contained in the centralizer \(Z(G)\) of the group \(G\).