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

cm:10996 - Communications in Mathematics, April 4, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10996
A recursive formula for the product of element orders of finite abelian groups

Authors: Subhrajyoti Saha

    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).


    Volume: Volume 32 (2024), Issue 1
    Published on: April 4, 2023
    Accepted on: February 27, 2023
    Submitted on: February 27, 2023
    Keywords: Finite group,Element order,Abelian group,2010 Mathematics subject classification: 20K01,2010 Mathematics subject classification: 20D60,[MATH]Mathematics [math]

    Consultation statistics

    This page has been seen 80 times.
    This article's PDF has been downloaded 24 times.