\(C^{\ell}\)-\(G\)-triviality of map germs and Newton polyhedra, \(G=\mathcal{R},\mathcal{C}\) and \(\mathcal{K}\) (Q934311)

The authors investigate the \(C^l\)-\(G\)-triviality of families of real analytic map-germs which satisfy a non-degeneracy condition with respect to some fixed Newton polyhedron, for \(0 \leq l < \infty\) and \(G\) one of Mather's groups \(\mathcal R, \mathcal C \text{ or } \mathcal K\).