The Normalizer Property for Integral Group Rings of Generalized Twisted Wreath Products of Two Finite Groups

Let N and H be two finite groups. In this paper, we define a generalized twisted wreath product G=N≀S,TH and establish sufficient conditions for G to satisfy the normalizer property. Additionally, we investigate the outer class-preserving and Coleman automorphism groups of certain generalized twisted wreath products. Our results extend several known theorems in the literature.