On the normalizer of an iterated wreath product
On the normalizer of an iterated wreath product
AbstractGiven a group G and n≥0, let W(G, n) be the associated iterated wreath product—unrestricted when G is infinite—viewed as a permutation group on Gn. We prove that the normalizer of W(G, n) in the symmetric group S(Gn) is equal to Mn⋉W(G,n), where Mn is isomorphic to Aut(G)n. The action …