对包含指定子群的有限群的子群进行计数

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-06-20 DOI:10.1016/j.jpaa.2025.108038

Lorenzo Guerra , Fabio Mastrogiacomo , Pablo Spiga

引用次数: 0

摘要

设R是一个有限群，T是R的一个子群，我们证明了R包含T的子群最多有7.3722[R:T]log2 (R:T) 4+1.8919个。

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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Counting subgroups of a finite group containing a prescribed subgroup

Let R be a finite group, and let T be a subgroup of R. We show that there are at most

7.3722 {[R : T]}^{\frac{\log_{2} [R : T]}{4} + 1.8919}

subgroups of R containing T.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.