Abstract
Let G be a finite group and let \(\psi (G)\) denote the sum of element orders of G. In this paper, we provide an explicit recursive formula for \(\psi (G)\) when G is finite abelian.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Amiri, H., Jafarian Amiri, S.M., Isaacs, I.M.: Sums of element orders in finite groups. Commun. Algebra 37(9), 2978–2980 (2009)
Amiri, H., Jafarian Amiri, S.M.: Sum of element orders on finite groups of the same order. J. Algebra Appl. 10(2), 187–190 (2011)
Tărnăuceanu, M.: An arithmetic method of counting the subgroups of a finite abelian group. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 53(101(4)), 373–386 (2010)
Tărnăuceanu, M., Fodor, D.G.: On the sum of element orders of finite abelian groups. An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 60, 1–7 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chew, C.Y., Chin, A.Y.M. & Lim, C.S. A Recursive Formula for the Sum of Element Orders of Finite Abelian Groups. Results Math 72, 1897–1905 (2017). https://doi.org/10.1007/s00025-017-0710-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00025-017-0710-8