| Yazarlar |
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) yayımlanan tam makale |
| Dergi Adı | Mathematical Sciences and Applications E-Notes |
| Dergi ISSN | 2147-6268 |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2020 |
| Cilt No | 8 |
| Sayı | 1 |
| Sayfalar | 51 / 54 |
| Doi Numarası | DOİ.ORG/10.36753/MATHENOT.616086 |
| Atıf Sayıları |
