# Irreducible characters with bounded root Artin conductor

## TL;DR

This paper proves that the growth of the Artin conductor for irreducible characters is at most exponential relative to the degree of the character, providing bounds on this important invariant.

## Contribution

It establishes an exponential bound on the growth of the Artin conductor in relation to the degree of irreducible characters.

## Key findings

- Artin conductor growth is at most exponential
- Provides bounds on the Artin conductor growth
- Advances understanding of character invariants

## Abstract

In this work, we prove that the growth of the Artin conductor is at most, exponential in the degree of the character.