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

#### Nil MANSUROĞLU [1]

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.
finite p-group, group element order;, sum of element orders
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Primary Language en Engineering Articles Orcid: 0000-0002-6400-2115Author: Nil MANSUROĞLU Country: Turkey Publication Date : March 20, 2020
 Bibtex @research article { mathenot616086, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {51 - 54}, doi = {10.36753/mathenot.616086}, title = {Some Properties on Sums of Element Orders in Finite p-groups}, key = {cite}, author = {Mansuroğlu, Nil} } 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 . DOI: 10.36753/mathenot.616086 MLA Mansuroğlu, N . "Some Properties on Sums of Element Orders in Finite p-groups" . Mathematical Sciences and Applications E-Notes 8 (2020 ): 51-54 Chicago Mansuroğlu, N . "Some Properties on Sums of Element Orders in Finite p-groups". Mathematical Sciences and Applications E-Notes 8 (2020 ): 51-54 RIS TY - JOUR T1 - Some Properties on Sums of Element Orders in Finite p-groups AU - Nil Mansuroğlu Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.616086 DO - 10.36753/mathenot.616086 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 51 EP - 54 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.616086 UR - https://doi.org/10.36753/mathenot.616086 Y2 - 2020 ER - EndNote %0 Mathematical Sciences and Applications E-Notes Some Properties on Sums of Element Orders in Finite p-groups %A Nil Mansuroğlu %T Some Properties on Sums of Element Orders in Finite p-groups %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.616086 %U 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 (March 2020): 51-54 . https://doi.org/10.36753/mathenot.616086 AMA Mansuroğlu N . Some Properties on Sums of Element Orders in Finite p-groups. Math. Sci. Appl. E-Notes. 2020; 8(1): 51-54. 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. IEEE N. Mansuroğlu , "Some Properties on Sums of Element Orders in Finite p-groups", Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, pp. 51-54, Mar. 2020, doi:10.36753/mathenot.616086

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