Finite groups with five relative commutativity degrees

2019/12/10 by Mohammad Farrokhi Derakhshandeh Ghouchan, Ghouchan, Mohammad Farrokhi Derakhshandeh
Computer Science · Engineering · Mathematics · #20F16 #20F18 (Secondary) #20P05 (Primary) 20D30 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1912.04550

openalex publication_date 2019/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify all finite groups with five relative commutativity degrees. Also, we give a partial answer to our previous conjecture on a lower bound of the number of relative commutativity degrees of finite groups.

Citations

• On some problems of a statistical group-theory. IV
• What is the Probability that Two Group Elements Commute?

Related

• Finite groups with two relative subgroup commutativity degrees
• Commutativity degree, its generalizations, and classification of finite groups
• Relative cyclic subgroup commutativity degrees of finite groups
• Some bounds on commutativity degree
• A note on subgroup commutativity degrees of finite groups