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Rashid Rezaei

Rashid Rezaei

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

Title
درجه جابجایی نسبی یک زیرگروه یک گروه متناهی
Type
JournalPaper
Keywords
Commutativity degree of a finite group; Conjugacy class; Nilpotency class; Nilpotent group.
Year
2007
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers Rashid Rezaei

Abstract

The aim of this article is to give a generalization of the concept of commutativity degree of a finite group G (denoted by d(G)), to the concept of relative commutativity degree of a subgroup H of a group G (denoted by d(H,G)). We shall state some results concerning the new concept which are mostly new or improvements of known results given in Gustafson (1973) and Moghaddam et al. (2005). Moreover, we shall define the relative nth nilpotency degree of a subgroup of a group and give some results concerning this at the end of the article.