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Sums of Element Orders in Symmetric Groups

Year 2018, Volume: 18 Issue: 3, 884 - 887, 30.12.2018

Abstract

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.

References

  • 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.
Year 2018, Volume: 18 Issue: 3, 884 - 887, 30.12.2018

Abstract

References

  • 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.
There are 6 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Nil Mansuroğlu

Publication Date December 30, 2018
Submission Date July 6, 2018
Published in Issue Year 2018 Volume: 18 Issue: 3

Cite

APA Mansuroğlu, N. (2018). Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 18(3), 884-887.
AMA Mansuroğlu N. Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. December 2018;18(3):884-887.
Chicago Mansuroğlu, Nil. “Sums of Element Orders in Symmetric Groups”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18, no. 3 (December 2018): 884-87.
EndNote Mansuroğlu N (December 1, 2018) Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 3 884–887.
IEEE N. Mansuroğlu, “Sums of Element Orders in Symmetric Groups”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, pp. 884–887, 2018.
ISNAD Mansuroğlu, Nil. “Sums of Element Orders in Symmetric Groups”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18/3 (December 2018), 884-887.
JAMA Mansuroğlu N. Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18:884–887.
MLA Mansuroğlu, Nil. “Sums of Element Orders in Symmetric Groups”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 18, no. 3, 2018, pp. 884-7.
Vancouver Mansuroğlu N. Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18(3):884-7.