On finite Galois covering germs (Q1174623)

A finite covering germ is a germ \(\pi: X\rightarrow W\) of surjective proper finite holomorphic mappings, where \(X=(X,p)\) is a germ of irreducible normal complex space. The paper deals with the construction of finite covering germs. Let \(W=(W,O)\) be the germ of balls in \({\mathbb{C}}^ n\) with center \(O\). Theorem 2 says that for \(n\geq2\) and every finite group \(G\) there is a finite covering germ \(\pi: X\rightarrow W\) satisfying \(G_ \pi\simeq G\) where \(G_ \pi\) is the group of all automorphisms of the covering \(\pi\).