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Rashid Rezaei

Rashid Rezaei

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

Title
درجه برونی گروه های متناهی
Type
JournalPaper
Keywords
Capable group; Commutativity degree; Exterior centre; Exterior degree; Schur multiplier.
Year
2011
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers Rashid Rezaei

Abstract

We introduce the exterior degree of a finite group G to be the probability for twoelements g and g' in G such that g∧g' = 1, and we shall state some results concerningthis concept. We show that if G is a non-abelian capable group, then its exterior degreeis less than 1/p, where p is the smallest prime number dividing the order of G. Finally,we give some relations between the new concept and commutativity degree, capability,and the Schur multiplier.