The Normalizer Property for Integral Group Rings of Generalized Twisted Wreath Products of Two Finite Groups
Year: 2026
Type: article
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.
Source: Symmetry
DOI: 10.3390/sym18010164
Authors: Lingling Han, Tao Zheng
Institution: Zhejiang Normal University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
Awards: G1813913288, G7692780494
OpenAlex ID: W7124315193
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