| Yazarlar (1) | 
|  Doç. Dr. Nil MANSUROĞLU Kırşehir Ahi Evran Üniversitesi, Türkiye | 
| Özet | 
| In literature, there are many papers on the sum of element orders of a finite group. In this study,in particular, we deal with the cases in finite p-groups. Our main aim is to investigate the sums ofelement orders in finite p-groups and to give some properties of such sums. Let ψ(G) denote the sum ofelement orders of a finite group G. As an immediate consequence, we proved that ψ(G) <34ψ(C) andψ(G) <1p−1ψ(C), where G is a non-cyclic finite p-group of order pr and C is a cyclic group of order prforsome prime p. | 
| Anahtar Kelimeler | 
| Finite p-group | group element orders | sum of element orders | 
| Makale Türü | Özgün Makale | 
| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale | 
| Dergi Adı | Mathematical Sciences and Applications E-Notes | 
| Dergi ISSN | 2147-6268 Scopus Dergi | 
| Dergi Tarandığı Indeksler | TR DİZİN | 
| Makale Dili | İngilizce | 
| Basım Tarihi | 04-2020 | 
| Cilt No | 8 | 
| Sayı | 1 | 
| Sayfalar | 51 / 54 | 
| Doi Numarası | 10.36753/MATHENOT.616086 |