Mathematical  Culture and Thought

Mathematical Culture and Thought

Characterization of finite groups by sum of the element orders

Document Type : Review

Author
Unuversity of Zanjan
10.30504/mct.2025.1570.2105
Abstract
One of the principal conceptions in finite group theory is the element orders. Currently, the important role of this number in determining of the group structure has been attended. In this paper, we are going to review to the most important obtained results about some functions connected to element orders of a group and the role of it in characterizing of finite groups.
Keywords
Subjects


Articles in Press, Accepted Manuscript
Available Online from 03 December 2025

  • Receive Date 06 September 2025
  • Revise Date 31 October 2025
  • Accept Date 01 November 2025
  • Publish Date 03 December 2025