| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 246 0 |
| Căutarea după subiecte similare conform CZU |
| 512.542 (12) |
| Алгебра (410) |
 SM ISO690:2012MORSHEDLO, Mohammad Amin, NASRABADI, Mohammad Mehdi. On the weight of finite groups. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 299-306. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.25 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
||||||
| Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848 | ||||||
|
||||||
| DOI:https://doi.org/10.56415/qrs.v30.25 | ||||||
| CZU: 512.542 | ||||||
| Pag. 299-306 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
For a finite group G, let W(G) denotes the set of the orders of the elements of G. In this paper we study jW(G)j and show that the cyclic group of order n has the maximum value of jW(G)j among all groups of the same order. Furthermore we study this notion in nilpotent and non-nilpotent groups and state some inequality for it. Among the result we show that the minimum value of jW(G)j is power of 2 or it pertains to a non-nilpotent group. |
||||||
|
|
|
|
