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Rashid Rezaei

Rashid Rezaei

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
درجه جابجایی یک گروه جبر
Type
JournalPaper
Keywords
Commutativity degree · Group algebra · Conjugacy class · Isoclinism of groups
Year
2021
Journal Afrika Matematika
DOI
Researchers Rashid Rezaei

Abstract

The aim of this paper is to give a generalization of the concept of commutativity degree of a finite group G (denoted by d(G)), to the concept of commutativity degree of a group algebra F[G], where G is a finite group and F is a finite field. We prove that two isoclinic groups for which the order of their centers are equal have the same commutativity degree. Finally, we give some lower and upper bounds for the commutativity degree of group algebra F[G] in terms of the order of G, the order of F and d(G).