Title of article
On the Exterior Degree of the Wreath Product of Finite Abelian Groups
Author/Authors
ERFANIAN، AHMAD نويسنده Department of Pure Mathematics and Centre of Excellence in Analysis on Algebraic Structures , , ABD MANAF، FADILA NORMAHIA نويسنده Department of Mathematical Sciences , , RUSSO، FRANCESCO G. نويسنده Dipartimento Energia, Ingegneria dell’Informazione e Modelli Matematici , , SARMIN، NOR HANIZA نويسنده Department of Mathematical Sciences and Ibnu Sina Institute for Fundamental Studies ,
Issue Information
فصلنامه با شماره پیاپی سال 2014
Pages
12
From page
25
To page
36
Abstract
The exterior degree d^(G) of a finite group G has been recently introduced by
Rezaei and Niroomand in order to study the probability that two given elements x and y of G
commute in the nonabelian exterior square G^G. This notion is related with the probability
d(G) that two elements of G commute in the usual sense. Motivated by a paper of Erovenko
and Sury of 2008, we compute the exterior degree of a group which is the wreath product
of two finite abelian p-groups (p prime). We find some numerical inequalities and study
mostly abelian p-groups.
2010 Mathematics Subject Classification: Primary 20J99; Secondary 20D15, 20P05
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Serial Year
2014
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2197129
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