A characterization of certain finite groups of odd order

2011/03/31 by Ashish Kumar Das, Rajat Kanti Nath, Das, Ashish Kumar +1
Engineering · Mathematics · #20D60 #20E45 #20P05 #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:20D60 #msc:20E45 #msc:20P05

paper · pdf · doi:10.48550/arxiv.1103.6138

12 pages

arxiv created 2011/03/31 · openalex publication_date 2011/03/31 · arxiv updated 2011/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. The main object of this paper is to obtain a characterization for all finite groups of odd order with commutativity degree greater than or equal to 11/75.

Citations

• What is the Probability that Two Group Elements Commute?

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