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

Saha, Subhrajyoti orcid iconORCID: 0000-0002-6479-3148 (2023) A recursive formula for the product of element orders of finite abelian groups. Communications in Mathematics, 32 (1). ISSN 2336-1298

[thumbnail of VOR]
Preview
PDF (VOR) - Published Version
Available under License Creative Commons Attribution Share Alike.

290kB

Official URL: https://doi.org/10.46298/cm.10996

Abstract

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).


Repository Staff Only: item control page