Fuzzy subgroups commutativity degree of dihedral groups

2014/01/07 by Hassan Naraghi, Naraghi, Hassan, Hosein Naraghi +1
Mathematics · #20N25 #60B15 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:20N25 #msc:60B15

paper · pdf · doi:10.48550/arxiv.1401.6934

arxiv created 2014/01/07 · arxiv updated 2014/01/28

Abstract

In this paper we introduce and study the concept of distinct fuzzy subgroups commutativity degree of a finite group G. This quantity measures the probability of two random distinct fuzzy subgroups of G commuting. We determine distinct fuzzy subgroup commutativity degree for some of finite groups.

Related

• Cyclic subgroup commutativity degrees of finite groups
• A characterization of certain finite groups of odd order
• Some bounds on commutativity degree
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• Commutativity degree, its generalizations, and classification of finite groups