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

被引：4

作者：

Chew, C. Y. ^{[1
]}

Chin, A. Y. M. ^{[2
]}

Lim, C. S. ^{[3
]}

机构：

[1] Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long Bandar Sungai Long Cheras, Kajang 43000, Selangor, Malaysia

[2] Univ Malaya, Inst Math Sci, Fac Sci, Kuala Lumpur 50603, Malaysia

[3] Univ Coll Fairview, Jalan 1-27D,Sect 6, Kuala Lumpur 53300, Malaysia

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 04期

关键词：

Element order; Finite group; Abelian group;

D O I：

10.1007/s00025-017-0710-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：1897 / 1905

页数：9

共 50 条

[1] A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups
C. Y. Chew
A. Y. M. Chin
C. S. Lim
Results in Mathematics, 2017, 72 : 1897 - 1905
[2] ON THE SUM OF ELEMENT ORDERS OF FINITE ABELIAN GROUPS
Tarnauceanu, Marius
Fodor, Dan Gregorian
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2014, 60 (01): : 1 - 7
[3] Sum of the Powers of the Orders of Elements in Finite Abelian Groups
Saha, Subhrajyoti
ADVANCES IN GROUP THEORY AND APPLICATIONS, 2022, 13 : 1 - 11
[4] On the sum of the inverses of the element orders in finite groups
Azad, Morteza Baniasad
Khosravi, Behrooz
Rashidi, Hamideh
COMMUNICATIONS IN ALGEBRA, 2023, 51 (02) : 694 - 698
[5] THE MINIMUM SUM OF ELEMENT ORDERS OF FINITE GROUPS
Jahani, M.
Marefat, Y.
Refaghat, H.
Fasaghandisi, B. Vakili
INTERNATIONAL JOURNAL OF GROUP THEORY, 2021, 10 (02) : 55 - 60
[6] ON THE SUM OF ELEMENT ORDERS OF FINITE SIMPLE GROUPS
Marefat, Yadollah
Iranmanesh, Ali
Tehranian, Abolfazl
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (07)
[7] A Note on the Product of Element Orders of Finite Abelian Groups
Tarnauceanu, Marius
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (04) : 1123 - 1126
[8] SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
Amiri, H.
Amiri, S. M. Jafarian
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (02) : 187 - 190
[9] Second maximum sum of element orders on finite groups
Amiri, S. M. Jafarian
Amiri, Mohsen
JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (03) : 531 - 539
[10] Detecting structural properties of finite groups by the sum of element orders
Tarnauceanu, Marius
ISRAEL JOURNAL OF MATHEMATICS, 2020, 238 (02) : 629 - 637

← 1 2 3 4 5 →