有限阿贝尔群元素阶积的递推公式

Q3 Mathematics

Communications in Mathematics Pub Date : 2023-04-04 DOI:10.46298/cm.10996

Subhrajyoti Saha

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引用次数: 0

摘要

设G是一个有限群，ψ(G)表示G的元素阶的和;后来这个概念被用来定义R(G)，它是G的元素阶的乘积。由ψ(G)的递推公式，我们考虑一个有限阿贝尔群G，得到了R(G)的类似公式。

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A recursive formula for the product of element orders of finite abelian groups

Let G be a finite group and let ψ(G) denote the sum of element orders of G; later this concept has been used to define R(G) which is the product of the element orders of G. Motivated by the recursive formula for ψ(G), we consider a finite abelian group G and obtain a similar formula for R(G).

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.