On restricted twisted wreath products of groups (Q800483)

Let G be a group, N a nontrivial minimal normal subgroup of G, further S a nontrivial minimal normal subgroup of N and U a supplement of N in G. The author shows that there exists an epimorphism from the restricted twisted wreath product S wr\({}_ H U\) onto G, where \(H=N_ U(S)\). Moreover, if K is the kernel of this epimorphism, there is an epimorphism of K onto \(N\cap U\) which is an isomorphism if S is nonabelian.