Commutativity Degrees of Wreath Products of Finite Abellian Groups

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Igor Erovenko, Associate Professor and Director of Undergraduate Study (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site:

Abstract: We compute commutativity degrees of wreath products AoB of finite abelian groups A and B. When B is fixed of order n the asymptotic commutativity degree of such wreath products is 1=n2. 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.

Additional Information

Bulletin of the Australian Mathematical Society 77 (2008), 1, 31-36.
Language: English
Date: 2008

Email this document to