Commutativity degree, its generalizations, and classification of finite groups

TL;DR

This paper explores the commutativity degree of finite groups, introduces new generalizations, and classifies groups based on these properties, contributing to the understanding of group structure.

Contribution

It presents new results and generalizations regarding the commutativity degree of finite groups, aiding in their classification.

Findings

New bounds on commutativity degree

Classification criteria for finite groups

Generalizations of commutativity measures

Abstract

This abstract presents (without proofs) some new results on commutativity degree of finite groups.