English

A generalized character associated to element orders

Group Theory 2023-12-04 v1 Representation Theory

Abstract

Let GG be a finite group. We study the generalized character defined by Ξ(g)=Go(g)\Xi(g)=|G|o(g), for gGg\in G, which is closely related to a function that has been very studied recently from a group theoretical point of view.

Keywords

Cite

@article{arxiv.2312.00008,
  title  = {A generalized character associated to element orders},
  author = {Alexander Moretó},
  journal= {arXiv preprint arXiv:2312.00008},
  year   = {2023}
}
R2 v1 2026-06-28T13:37:29.077Z