Commutativity degree of chains of finite groups

Abstract

The concepts of commutativity of two chains, and the commutativity degree of the chains of a finite group such as G which ends in G are introduced. Then, the relation between the commutativity degree of the chains of a finite group is examined, and eventually this measure is calculated for some finite groups and fuzzy subgroups.

Subject Classification:

• 20D05
• 20Fxx

Keywords:

• Commutativity degree
• Finite groups
• Fuzzy subgroups
• Chains