# Injective Restriction of Brauer Characters

## TL;DR

This paper characterizes conditions under which the restriction of Brauer characters from a finite group G to a subgroup H is injective, providing insights into the structure of Brauer characters and their restrictions.

## Contribution

It offers a new characterization of when the restriction map of Brauer characters is injective for subgroups of finite groups.

## Key findings

- Identifies specific conditions for injectivity of Brauer character restriction
- Provides a theoretical framework for understanding Brauer character restrictions
- Enhances understanding of subgroup structure via Brauer characters

## Abstract

If G is a finite group and H is a subgroup of G, we characterize when restriction of Brauer characters from G to H is injective.