Year 2018, Volume 18, Issue 3, Pages 884 - 887 2018-12-30

Sums of Element Orders in Symmetric Groups

Nil Mansuroğlu [1]

3 42

In literature, there are many papers on the sums of element orders of finite groups. In this study we deal with the cases in symmetric groups. Our main aim is to investigate the sums of element orders in symmetric groups and to give some properties of the sum of element orders in symmetric group. Moreover, we derive the formula for such sums.
Finite group, Symmetric groups, Sum of orders element, Element order.
  • Amiri, S.M., 2009. Sums of element orders in finite groups. Communication Algebra, 39, 2978-2980.
  • Amiri, S.M. and Amiri, J., 2011. Sum of element orders on finite groups of same order. Journal of Algebra and Its Applications, 10, 2, 187-190.
  • Gorenstein, D.,1968. Finite groups, Harper and Row, New York.
  • Herstein, E.N., 1958. A remark on finite groups. Proceedings of the American Mathematical Society, 9, 2, 255-257.
  • Herzog, M., Longobardi, P. and Maj, M., 2018. An exact upper bound for sums of element orders in non-cyclic finite groups. Journal of Pure and Applied Algebra, 222, 7, 1628- 1642.
  • Robinson, D.J.S., 1996. A course in the theory of groups, Springer, New York, 516pp.
Primary Language en
Journal Section Articles
Authors

Author: Nil Mansuroğlu

Bibtex @research article { akufemubid542306, journal = {Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi}, issn = {}, eissn = {2149-3367}, address = {Afyon Kocatepe University}, year = {2018}, volume = {18}, pages = {884 - 887}, doi = {}, title = {Sums of Element Orders in Symmetric Groups}, key = {cite}, author = {Mansuroğlu, Nil} }
APA Mansuroğlu, N . (2018). Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 18 (3), 884-887. Retrieved from http://dergipark.org.tr/akufemubid/issue/44157/542306
MLA Mansuroğlu, N . "Sums of Element Orders in Symmetric Groups". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 (2018): 884-887 <http://dergipark.org.tr/akufemubid/issue/44157/542306>
Chicago Mansuroğlu, N . "Sums of Element Orders in Symmetric Groups". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 (2018): 884-887
RIS TY - JOUR T1 - Sums of Element Orders in Symmetric Groups AU - Nil Mansuroğlu Y1 - 2018 PY - 2018 N1 - DO - T2 - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi JF - Journal JO - JOR SP - 884 EP - 887 VL - 18 IS - 3 SN - -2149-3367 M3 - UR - Y2 - 2018 ER -
EndNote %0 Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi Sums of Element Orders in Symmetric Groups %A Nil Mansuroğlu %T Sums of Element Orders in Symmetric Groups %D 2018 %J Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi %P -2149-3367 %V 18 %N 3 %R %U
ISNAD Mansuroğlu, Nil . "Sums of Element Orders in Symmetric Groups". Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 / 3 (December 2019): 884-887.