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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
On the multiple exterior degree of finite groups
Type
JournalPaper
Keywords
exterior degree multiple exterior degree multiple commutativity degree capable groups Schur multiplier
Year
2014
Journal Mathematica Slovaca
DOI
Researchers Rashid Rezaei

Abstract

Recently the first two authors have introduced a group invariant, called exterior degree, which is related to the number of elements x and y of a finite group G such that xΛy = 1 in the exterior square GΛG of G. Research on this topic gives some relations between this concept, the Schur multiplier and the capability of a finite group. In the present paper, we will generalize the concept of exterior degree of groups and we will introduce the multiple exterior degree of finite groups. Among other results, we will obtain some relations between the multiple exterior degree, multiple commutativity degree and capability of finite groups.