Problems on the conductor of finite group characters

TL;DR

This paper reviews recent advances and open questions regarding the conductor of finite group characters, emphasizing their interrelations and significance within the broader context of finite group representation theory.

Contribution

It synthesizes recent results and identifies open problems related to the conductor of finite group characters, connecting them to wider topics in representation theory.

Findings

Summary of recent results on conductors

Identification of open problems in the field

Connections to broader representation theory topics

Abstract

This paper reviews recent results and open problems on the conductor of finite group characters, highlighting their connections to one another and to broader topics in the representation theory of finite groups.