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

Symmetry 2026 Open access

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Authors: Lingling Han, Tao Zheng
DOI: 10.3390/sym18010164
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Finite Group Theory Research Advanced Topics in Algebra Rings Modules and Algebras

Publication details

Journal / source
Symmetry
Volume
18
Issue
1
Pages
164–164
Publication date
15 January 2026
Language
EN