具有少量非线性不可还原特征内核的可解群

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

摘要

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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Decomposable Groups with Few Nonlinear Irreducible Character Kernels

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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Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

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0.00%

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期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.

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