This investigation defines normalizer properties in generalized twisted wreath products of finite groups, highlighting implications for group theory.
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.
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Han et al. (2026) studied this question.
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