On the Exterior Degree of the Wreath Product of Finite Abelian Groups

被引：0

作者：

Erfanian, Ahmad ^{[1
,2
]}

Abd Manaf, Fadila Normahia ^{[3
]}

Russo, Francesco G. ^{[4
,5
]}

Sarmin, Nor Haniza ^{[3
,6
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad 91775, Iran

[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad 91775, Iran

[3] Univ Teknol Malaysia, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

[4] Univ Palermo, Dipartimento Energia Ingn Informaz & Modelli Mate, I-90128 Palermo, Italy

[5] Univ Fed Rio de Janeiro, Inst Matemat, Ilha Fundao, Ctr Tecnol, BR-21941909 Rio De Janeiro, Brazil

[6] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Studies, Utm Johor Bahru 81310, Johor, Malaysia

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2014年 / 37卷 / 01期

关键词：

Exterior degree; wreath products; p-groups; NILPOTENCY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The exterior degree d(boolean AND)(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 boolean AND 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.

引用

页码：25 / 36

页数：12

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