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Journal Articles Communications in Mathematics Year : 2023

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

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).
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Dates and versions

hal-03997516 , version 1 (20-02-2023)
hal-03997516 , version 2 (28-03-2023)

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Subhrajyoti Saha. A recursive formula for the product of element orders of finite abelian groups. Communications in Mathematics, 2023, Volume 32 (2024), Issue 1 (1), ⟨10.46298/cm.10996⟩. ⟨hal-03997516v2⟩
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