Commutativity degrees of wreath products of finite Abelian groups

被引：10

作者：

Erovenko, Igor V. ^{[1
]}

Sury, B. ^{[2
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Greensboro, NC 27402 USA

[2] Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 77卷 / 01期

关键词：

wreath product; commutativity degree;

D O I：

10.1017/S0004972708000038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute commutativity degrees of wreath products A B of finite Abelian groups A and B. When B is fixed of order n the asymptotic commutativity degree of such wreath products is 1/n(2). This answers a generalized version of a question posed by P. Lescot. As byproducts of our formula we compute the number of conjugacy classes in such wreath products, and obtain an interesting elementary number-theoretic result.

引用

页码：31 / 36

页数：6

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