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

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.

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Publication Details

Journal
Algebra Colloquium
Published
2026-02-27
DOI
https://doi.org/10.1142/s1005386726000155
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Jinke Hai
Algebra Colloquium
Finite Group Theory Research
article

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

Jinke Hai
article en

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.

Algebra ColloquiumVol. 33(01)
Qingdao University (CN), Yili Normal University (CN)
Openalex Percentile: Top 39%
Finite Group Theory Research
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