Yıl: 2020 Cilt: 8 Sayı: 1 Sayfa Aralığı: 51 - 54 Metin Dili: İngilizce DOI: 10.36753/MATHENOT.616086 İndeks Tarihi: 24-03-2021

Some Properties on Sums of Element Orders in Finite p-groups

Öz:
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 Kelime:

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APA Mansuroğlu N (2020). Some Properties on Sums of Element Orders in Finite p-groups. , 51 - 54. 10.36753/MATHENOT.616086
Chicago Mansuroğlu Nil Some Properties on Sums of Element Orders in Finite p-groups. (2020): 51 - 54. 10.36753/MATHENOT.616086
MLA Mansuroğlu Nil Some Properties on Sums of Element Orders in Finite p-groups. , 2020, ss.51 - 54. 10.36753/MATHENOT.616086
AMA Mansuroğlu N Some Properties on Sums of Element Orders in Finite p-groups. . 2020; 51 - 54. 10.36753/MATHENOT.616086
Vancouver Mansuroğlu N Some Properties on Sums of Element Orders in Finite p-groups. . 2020; 51 - 54. 10.36753/MATHENOT.616086
IEEE Mansuroğlu N "Some Properties on Sums of Element Orders in Finite p-groups." , ss.51 - 54, 2020. 10.36753/MATHENOT.616086
ISNAD Mansuroğlu, Nil. "Some Properties on Sums of Element Orders in Finite p-groups". (2020), 51-54. https://doi.org/10.36753/MATHENOT.616086
APA Mansuroğlu N (2020). Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes, 8(1), 51 - 54. 10.36753/MATHENOT.616086
Chicago Mansuroğlu Nil Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes 8, no.1 (2020): 51 - 54. 10.36753/MATHENOT.616086
MLA Mansuroğlu Nil Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes, vol.8, no.1, 2020, ss.51 - 54. 10.36753/MATHENOT.616086
AMA Mansuroğlu N Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 51 - 54. 10.36753/MATHENOT.616086
Vancouver Mansuroğlu N Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 51 - 54. 10.36753/MATHENOT.616086
IEEE Mansuroğlu N "Some Properties on Sums of Element Orders in Finite p-groups." Mathematical Sciences and Applications E-Notes, 8, ss.51 - 54, 2020. 10.36753/MATHENOT.616086
ISNAD Mansuroğlu, Nil. "Some Properties on Sums of Element Orders in Finite p-groups". Mathematical Sciences and Applications E-Notes 8/1 (2020), 51-54. https://doi.org/10.36753/MATHENOT.616086