Mathematica Slovaka, ( ISI ), Volume (64), No (4), Year (2014-8) , Pages (856-870)

Title : ( ON THE MULTIPLE EXTERIOR DEGREE OF FINITE GROUPS )

Authors: رشید رضایی , پیمان نیرومند , Ahmad Erfanian ,

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ABSTRACT. Recentlythe first two authors have introduced a group invariant,called exterior degree, which is related to the number of elements x and y of a finitegroup Gsuchthat x∧y=1 inthe exteriorsquareG∧Gof G. Researchon thistopic gives somerelationsbetweenthisconcept,theSchur multiplierand 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 willobtain some relations between the multiple exterior degree, multiple commutativity degree and capability of finite groups.

Keywords

, exteriordegree, multipleexteriordegree, multiplecommutativitydegree, capable groups, Schur
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@article{paperid:1047119,
author = {رشید رضایی and پیمان نیرومند and Erfanian, Ahmad},
title = {ON THE MULTIPLE EXTERIOR DEGREE OF FINITE GROUPS},
journal = {Mathematica Slovaka},
year = {2014},
volume = {64},
number = {4},
month = {August},
issn = {0139-9918},
pages = {856--870},
numpages = {14},
keywords = {exteriordegree;multipleexteriordegree;multiplecommutativitydegree;capable groups; Schur multiplier},
}

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%0 Journal Article
%T ON THE MULTIPLE EXTERIOR DEGREE OF FINITE GROUPS
%A رشید رضایی
%A پیمان نیرومند
%A Erfanian, Ahmad
%J Mathematica Slovaka
%@ 0139-9918
%D 2014

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