On the Sum of Orders of Elements in Finite Groups

M. Herzog; P. Longobardi; M. Maj

doi:10.1007/s10958-023-06713-6

On the Sum of Orders of Elements in Finite Groups

M. Herzog^*, P. Longobardi, M. Maj

^*Corresponding author for this work

School of Mathematical Sciences

University of Salerno

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

Abstract

The paper gives a survey of some recent results of the authors concerning the function ψ(G), which is the sum of orders of elements of a finite group; more precisely, the authors consider the question, how does the value of ψ(G) affect the structure of G.

Original language	English
Pages (from-to)	722-727
Number of pages	6
Journal	Journal of Mathematical Sciences
Volume	275
Issue number	6
DOIs	https://doi.org/10.1007/s10958-023-06713-6
State	Published - Oct 2023

Keywords

20D60
20E34
20F16
finite groups
orders of elements of groups
solvable groups

Access to Document

10.1007/s10958-023-06713-6

Cite this

@article{c997a43897ca4991b47217a11be21b17,

title = "On the Sum of Orders of Elements in Finite Groups",

abstract = "The paper gives a survey of some recent results of the authors concerning the function ψ(G), which is the sum of orders of elements of a finite group; more precisely, the authors consider the question, how does the value of ψ(G) affect the structure of G.",

keywords = "20D60, 20E34, 20F16, finite groups, orders of elements of groups, solvable groups",

author = "M. Herzog and P. Longobardi and M. Maj",

note = "Publisher Copyright: {\textcopyright} 2023, Springer Nature Switzerland AG.",

year = "2023",

month = oct,

doi = "10.1007/s10958-023-06713-6",

language = "אנגלית",

volume = "275",

pages = "722--727",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "6",

}

TY - JOUR

T1 - On the Sum of Orders of Elements in Finite Groups

AU - Herzog, M.

AU - Longobardi, P.

AU - Maj, M.

PY - 2023/10

Y1 - 2023/10

N2 - The paper gives a survey of some recent results of the authors concerning the function ψ(G), which is the sum of orders of elements of a finite group; more precisely, the authors consider the question, how does the value of ψ(G) affect the structure of G.

AB - The paper gives a survey of some recent results of the authors concerning the function ψ(G), which is the sum of orders of elements of a finite group; more precisely, the authors consider the question, how does the value of ψ(G) affect the structure of G.

KW - 20D60

KW - 20E34

KW - 20F16

KW - finite groups

KW - orders of elements of groups

KW - solvable groups

UR - http://www.scopus.com/inward/record.url?scp=85174610969&partnerID=8YFLogxK

U2 - 10.1007/s10958-023-06713-6

DO - 10.1007/s10958-023-06713-6

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85174610969

SN - 1072-3374

VL - 275

SP - 722

EP - 727

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 6

ER -

On the Sum of Orders of Elements in Finite Groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this