A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups

Chun Yong Chew; Angelina Yan Mui Chin; Chia Sien Lim

doi:10.1007/s00025-017-0710-8

A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups

Chun Yong Chew
, Angelina Yan Mui Chin^*
, Chia Sien Lim

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Let G be a finite group and let ψ(G) denote the sum of element orders of G. In this paper, we provide an explicit recursive formula for ψ(G) when G is finite abelian.

Original language	English
Pages (from-to)	1897–1905
Number of pages	9
Journal	Results in Mathematics
Volume	72
Issue number	4
DOIs	https://doi.org/10.1007/s00025-017-0710-8
Publication status	Published - Dec 2017

Access to Document

10.1007/s00025-017-0710-8

Cite this

@article{4bdfdfe692814ab594af6751632951ed,

title = "A Recursive Formula for the Sum 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. In this paper, we provide an explicit recursive formula for ψ(G) when G is finite abelian.",

author = "Chew, \{Chun Yong\} and Chin, \{Angelina Yan Mui\} and Lim, \{Chia Sien\}",

year = "2017",

month = dec,

doi = "10.1007/s00025-017-0710-8",

language = "English",

volume = "72",

pages = "1897–1905",

journal = "Results in Mathematics",

issn = "0378-6218",

number = "4",

}

TY - JOUR

T1 - A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups

AU - Chew, Chun Yong

AU - Chin, Angelina Yan Mui

AU - Lim, Chia Sien

PY - 2017/12

Y1 - 2017/12

N2 - Let G be a finite group and let ψ(G) denote the sum of element orders of G. In this paper, we provide an explicit recursive formula for ψ(G) when G is finite abelian.

AB - Let G be a finite group and let ψ(G) denote the sum of element orders of G. In this paper, we provide an explicit recursive formula for ψ(G) when G is finite abelian.

U2 - 10.1007/s00025-017-0710-8

DO - 10.1007/s00025-017-0710-8

M3 - Article

SN - 0378-6218

VL - 72

SP - 1897

EP - 1905

JO - Results in Mathematics

JF - Results in Mathematics

IS - 4

ER -

A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups

Abstract

Access to Document

Fingerprint

Cite this