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Some properties on sums of element orders in finite p-groups     
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
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Some properties on sums of element orders in finite p-groups

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