Class-preserving Coleman automorphisms of Frobenius groups

被引：0

作者：

Li, Zhengxing ^{[1
]}

Li, Yuanlin ^{[2
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

[2] Brock Univ, Dept Math & Stat, St Catharines, ON, Canada

来源：

PUBLICATIONES MATHEMATICAE DEBRECEN | 2024年 / 105卷 / 1-2期

关键词：

lass-preserving automorphism; Coleman automorphism; the normalizer property; INTEGRAL GROUP-RINGS; NORMALIZER PROPERTY;

D O I：

10.5486/PMD.2024.9649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a Frobenius group. It is proved that every class-preserving Coleman automorphism of Gis an inner automorphism. This generalizes a result due to Petit Lobao and Polcino Milies which states that the normalizer conjecture holds for G.

引用

页码：59 / 66

页数：8

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