The sum of orders of elements in nonabelian groups of odd order Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2021, Volume: 18, Number: 2, Pages: 1698–1704 Pages count : 7 DOI: 10.33048/semi.2021.18.129 | ||||
| Tags | orders of elements, solvable groups | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
Denote by ψ(G) the sum of the orders of the elements of a finite group G. We obtain an exact upper bound for ψ(G) on the set of nonabelian groups of given odd order n in terms of the minimal prime divisor of n. We also describe the finite groups on which this bound is achieved.
Cite:
Buturlakin A.A.
, Tereshchenko A.F.
The sum of orders of elements in nonabelian groups of odd order
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1698–1704. DOI: 10.33048/semi.2021.18.129 WOS Scopus OpenAlex
The sum of orders of elements in nonabelian groups of odd order
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1698–1704. DOI: 10.33048/semi.2021.18.129 WOS Scopus OpenAlex
Dates:
| Submitted: | Nov 1, 2021 |
| Published print: | Dec 28, 2021 |
| Published online: | Dec 28, 2021 |
Identifiers:
| Web of science: | WOS:000747257800002 |
| Scopus: | 2-s2.0-85124157265 |
| OpenAlex: | W4205681429 |
Citing:
Пока нет цитирований