On an Equivariant Analogue of the Monodromy Zeta Function

We offer an equivariant analogue of the monodromy zeta function of a germ invariant with respect to an action of a finite group $G$ as an element of the Grothendieck ring of finite $(\mathbb{Z}\times G)$-sets. We state equivariant analogues of the Sebastiani–Thom theorem and of the A'Campo formula.