Groups with a small average number of zeros in the character table

TL;DR

This paper classifies finite groups based on having a low average number of zeros in their character tables, providing insights into their structure and properties.

Contribution

It introduces a classification of finite groups characterized by a small average number of zeros in their character tables, a novel approach in group theory.

Findings

Identified classes of groups with minimal zeros in character tables

Established bounds on the average number of zeros for certain groups

Provided structural insights related to zero distribution in character tables

Abstract

We classify finite groups with a small average number of zeros in the character table.