1000美元下拉格朗日定理（CLT）数的逆$

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-06-01 DOI:10.22108/IJGT.2017.13314

J. B. Nganou

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引用次数: 5

摘要

正整数$n$称为CLT数，如果每一组$n$阶满足拉格朗日定理的逆命题‎. ‎在本注释中‎, ‎我们发现所有的CLT和超可解数最高可达1000美元$‎. ‎我们还提出了一些关于这些数字分布的问题‎.

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Converse of Lagrange's theorem (CLT) numbers under $1000$

A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange's Theorem‎. ‎In this note‎, ‎we find all CLT and supersolvable numbers up to $1000$‎. ‎We also formulate some questions about the distribution of these numbers‎.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.