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 of element orders in finite p-groups and to give some properties of such
sums. Let (G) denote the sum of element orders of a finite group G. As an immediate consequence, we proved that \psi(G) ≤ 3 /4 \psi(C) and
\psi(G) < 1/p-1\psi (C), where G is a non-cyclic finite p-group of order p^r and C is a cyclic group of order p^r for some prime p.
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 20 Mart 2020 |
Gönderilme Tarihi | 5 Eylül 2019 |
Kabul Tarihi | 24 Ocak 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 8 Sayı: 1 |
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