p^6$$阶（p为奇数素数）群的忠实置换表示的最小度数

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Algebraic Combinatorics Pub Date : 2024-06-22 DOI:10.1007/s10801-024-01331-0

E. A. O’Brien, Sunil Kumar Prajapati, Ayush Udeep

引用次数: 0

摘要

我们确定了每个阶为 $p^6$（其中 p 是奇素数）的群的忠实置换表示的最小度。我们还记录了如何获得这样的表示。

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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Minimal degrees for faithful permutation representations of groups of order $$p^6$$ where p is an odd prime

We determine the minimal degree of a faithful permutation representation for each group of order $p^6$ where p is an odd prime. We also record how to obtain such a representation.

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来源期刊

Journal of Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.