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)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
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.
Commutativity Degrees of Wreath Products of Finite Abellian Groups
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Created on 1/1/2008
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Additional Information
- Publication
- Bulletin of the Australian Mathematical Society 77 (2008), 1, 31-36.
- Language: English
- Date: 2008