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Finite Group Theory ResearchRings, Modules, and AlgebrasGeometric and Algebraic Topology

The Normalizer Property for Integral Group Rings of Wreath Products of Some Centerless Finite Groups by Any Finite Group

J. Hai

2026.2.27ALGEBRA COLLOQUIUM

DOI: 10.1142/s1005386726000155

Abstract

In this paper, we show that all Coleman automorphisms of wreath products of some finite groups with trivial centers by any finite group are inner. In particular, the normalizer property holds for these groups.

Citation format

HAI, J. The normalizer property for integral group rings of wreath products of some centerless finite groups by any finite group. ALGEBRA COLLOQUIUM, 2026, 33(01): 153–160.