Decomposable Groups with Few Nonlinear Irreducible Character Kernels

IF 0.7 4区数学 Q2 MATHEMATICS Bulletin of The Iranian Mathematical Society Pub Date : 2024-08-19 DOI:10.1007/s41980-024-00902-y

Yali Li, Xue Wang, Qingyun Meng

引用次数: 0

Abstract

Let ${{\,\textrm{Kern}\,}}(G)$ denote the set of nonlinear irreducible character kernels of a finite group G. In this paper, we classify decomposable groups G with $|{{\,\textrm{Kern}\,}}(G)|\le 3$. In particular, nilpotent groups G with$|{{\,\textrm{Kern}\,}}(G)|\le 3$ are determined.

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具有少量非线性不可还原特征内核的可解群

让 ${{\,text\rm{Kern}\,}}(G)$ 表示有限群 G 的非线性不可还原特征内核的集合。本文将对具有 $|{\{,textrm{Kern}\,}}(G)|\le 3$ 的可分解群 G 进行分类。特别是，我们确定了具有（|{\textrm{Kern}\,}}(G)|le 3\) 的无穷群 G。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

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1.40

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0.00%

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